Some 8-cluster plans for a 35-member Maine Senate I've come up with:
Androscoggin (3 districts; 2.8552 or 3×0.9517 quotas; −4.83%)
Aroostook-Washington-Hancock-Penobscot-Piscataquis (8 districts; 8.2898 or 8×1.0362 quotas; +3.62%)
Cumberland (8 districts; 7.7861 or 8×0.9733 quotas; −2.67%)
Franklin-Somerset (2 districts; 2.0535 or 2×1.0268 quotas; +2.68%)
Kennebec-Lincoln-Sagadahoc (5 districts; 5.0245 or 5×1.0049 quotas; +0.49%)
Waldo (1 district; 1.0175 quotas; +1.75%)
Knox (1 district; 1.0432 quotas; +4.32%)
Oxford-York (7 districts; 6.9300 or 7×0.9900 quotas; −1.00%)
Androscoggin (3 districts; 2.8552 or 3×0.9517 quotas; −4.83%)
Aroostook-Washington-Hancock (4 districts; 3.9481 or 4×0.9870 quotas; −1.30%)
Cumberland-York (13 districts; 13.2318 or 13×1.0178 quotas; +1.78%)
Kennebec-Lincoln-Sagadahoc (5 districts; 5.0245 or 5×1.0049 quotas; +0.49%)
Waldo (1 district; 1.0175 quotas; +1.75%)
Knox (1 district; 1.0432 quotas; +4.32%)
Oxford-Franklin-Somerset-Piscataquis (4 districts; 3.9695 or 4×0.9924 quotas; −0.76%)
Penobscot (4 districts; 3.9101 or 4×0.9775 quotas; −2.25%)
What I thought I had for a 9-cluster plan:
Androscoggin (3 districts; 2.8552 or 3×0.9517 quotas; −4.83%)
Aroostook-Washington-Hancock (4 districts; 3.9481 or 4×0.9870 quotas; −1.30%)
Cumberland (8 districts; 7.7861 or 8×0.9733 quotas; −2.67%)
Franklin-Somerset (2 districts; 2.0535 or 2×1.0268 quotas; +2.68%)
Kennebec-Lincoln-Sagadahoc (5 districts; 5.0245 or 5×1.0049 quotas; +0.49%)
Waldo (1 district; 1.0175 quotas; +1.75%)
Knox (1 district; 1.0432 quotas; +4.32%)
Oxford-York (7 districts; 6.9300 or 7×0.9900 quotas; −1.00%)
Penobscot (4 districts; 3.9101 or 4×0.9775 quotas; −2.25%)
Piscataquis (0 districts; 0.4316 or 0×∞ quotas; +∞%)
How many are Texas-style where you apportion a whole number of districts to large counties, and one district for any surplus or smaller counties. The goal is to avoid dividing counties with a population smaller than a quota.
My apologies for the very late reply. I had had the need to reply in the back of my mind, but whenever I tried to come up with a scheme of clusters that would be more compliant with the Texas rules than either of my two above, I would fail and then move on to other things. Now I've decided to work with what I already had.
While in the "scoring" of your plan for Minnesota in the second post on this page (reply #26), you treat the splits of remainders the same as splits of a small county, I am going to place an emphasis on the part of what you wrote that I put in boldface. Since the second of my NC-style clusters above would force a split of a small county (Washington) I'll use the first cluster (the one that I haven't struck out in my above quote of that post). It's kind of fortunate that Penobscot has just under 4 quotas rather than just over, as my plan has only two districts entirely in Penobscot County, and I'm glad I'm not giving Penobscot County
two fewer whole districts than it is entitled to. I'll follow your convention of naming clusters after the most populous county in them, but I'll also list the counties in the cluster, the population of the cluster, and the population of the districts in the cluster assuming the closest mathematically possible equality without dividing people.
First, I'll list the counties, 2020 census population and "quota" (# of 1/35ths of Maine's 2020 census population), plus how many approximate total "fractional" districts the county would have under my plan (with the district being as much of a district as the portion of its population within the county), with the number shown being the decimal fraction if all districts within the cluster had exactly the same population:
Androscoggin, pop. 111,139 (2.855 quotas; 3 districts)
Aroostook, pop. 67,105 (1.724 quotas; ≈ 1.664 districts)
Cumberland, pop. 303,069 (7.786 quotas; 8 districts)
Franklin, pop. 29,456 (0.757 quotas; ≈ 0.737 districts)
Hancock, pop. 55,478 (1.425 quotas; ≈ 1.375 districts)
Kennebec, pop. 123,642 (3.176 quotas; ≈ 3.161 districts)
Knox, pop. 40,607 (1.043 quotas; 1 district)
Lincoln, pop. 35,237 (0.905 quotas; ≈ 0.901 districts)
Oxford, pop. 57,777 (1.484 quotas; ≈ 1.499 districts)
Penobscot, pop. 152,199 (3.910 quotas; ≈ 3.773 districts)
Piscataquis, pop. 16,800 (0.432 quotas; ≈ 0.417 districts)
Sagadahoc, pop. 36,699 (0.943 quotas; ≈ 0.938 districts)
Somerset, pop. 50,477 (1.297 quotas; ≈ 1.263 districts)
Waldo, pop. 39,607 (1.018 quotas; 1 district)
Washington, pop. 31,095 (0.799 quotas; ≈ 0.771 districts)
York, pop. 211,972 (5.446 quotas; ≈ 5.501 districts)
Okay. Let's start from the north, getting the worst out of the way first.
Penobscot cluster (Aroostook, Hancock, Penobscot, Piscataquis & Washington), pop. 322,677 (8.290 quotas); 8 districts with avg. pop. 40,334.625 (+3.62%):
1 district: ≈ 60.1% of Aroostook
1 district: ≈ 30.9% of Aroostook (≈ 26,770.375 people; ≈ 66.4% of the district)
(1 large county split) & 8.9% of Penobscot (≈ 13,564.25 people; ≈ 33.6% of the district)
(1 large county split)1 district: ≈ 15.5% of Penobscot (≈ 23,534.625 people; ≈ 58.3% of the district)
(1 small county split, since that's a split of the Penobscot surplus) & Piscataquis (16,800 people; ≈ 41.7% of the district)
2 districts: each ≈ 26.5% of Penobscot
1 district: ≈ 10.6% of Hancock (≈ 5,903.75 people; ≈ 14.6% of the district)
(1 large county split) & ≈ 22.6% of Penobscot (≈ 34,430.875 people; ≈ 85.4% of the district)
(1 small county split, since that's another split of the Penobscot surplus)1 district: ≈ 72.7% of Hancock
1 district: ≈ 16.7% of Hancock (≈ 9,239.625 people; ≈ 22.9% of the district)
(1 small county split, since that's a split of the Hancock surplus) & Washington (31,095 people; ≈ 77.1% of the district)
Somerset cluster (Franklin & Somerset), pop. 79,933 (2.054 quotas); 2 districts with avg. pop. 39,966.5 (+2.68%):
1 district: ≈ 79.2% of Somerset
1 district: Franklin (29,456 people; ≈ 73.7% of the district) and ≈ 20.8% of Somerset (≈ 10,510.5 people; ≈ 26.3% of the district)
(1 large county split)Waldo cluster (Waldo), pop. 39,607 (1.018 quotas); 1 district with pop. 39,607 (+1.75%):
1 district: Waldo
Knox cluster (Knox), pop. 40,607 (1.043 quotas); 1 district with pop. 40,607 (+4.32%):
1 district: Knox
Kennebec cluster (Kennebec, Lincoln & Sagadahoc), pop. 195,578 (5.025 quotas); 5 districts with avg. pop. 39,115.6 (+0.49%):
1 district: ≈ 3.1% of Kennebec (≈ 3,878.6 people; ≈ 9.9% of the district)
(1 large county split) & Lincoln (35,237 people; ≈ 90.1% of the district)
1 district: ≈ 1.9% of Kennebec (≈ 2,416.6 people; ≈ 6.2% of the district)
(1 small county split, since that's a split of the Kennebec surplus) & Sagadahoc (36,699 people; ≈ 93.8% of the district)
3 districts: each ≈ 31.6% of Kennebec
Androscoggin cluster (Androscoggin), pop. 111,139 (2.855 quotas); 3 districts with avg pop. 37,046.33 (−4.83%):
3 districts: each ≈ 33.3% of Androscoggin
Cumberland cluster (Cumberland), pop. 303,069 (7.786); 8 districts with avg. pop. 37,883.625 (−2.68%):
8 districts: each ≈ 12.5% of Cumberland
York cluster (Oxford & York), pop. 269,749 (6.930); 7 districts with avg. pop. 38,535.57 (−1.00%):
1 district: ≈ 66.7% of Oxford
1 district: ≈ 33.3% of Oxford (≈ 19,241.43 people; ≈ 49.9% of the district)
(1 large county split) and ≈ 9.1% of York (≈ 19,294.14 people; ≈ 50.1% of the district)
(1 large county split)5 districts: each ≈ 18.2% of York
Overall:
4 small county splits (all splits of remainders; no actually "small county" (one with less than 1/35th of Maine's population) is split)
7 large county splits (if I've calculated those correctly)
[Edited several times in the afternoon and evening of the day I posted this, at first as I posted it before I was done to a avoid the risk of losing all my work, and then because I saw an error or something I saw fit to add.]