NEW HAMPSHIRE
The plan: one district encompassing the Boston suburbs, Nashua, Portsmouth, Manchester. One district for the rest. This separates the high population density Bostonian south from the rural, maverick north. It's a logical boundary to separate the urban/suburban from the rural. It also keeps the major metro areas together. It favors a linear boundary over a county boundary, but the line is somewhat near the county boundary anyway.
The map:
District 1 is a rectangle encompassing Portsmouth, Manchester, and Nashua. It has most of Rockingham and Hillsborough Counties. Rating: Lean R
District 2 is much more rural, has a much lower population density, and has parts of all ten counties. Rating: Likely D
Improvements: I have combined Manchester and Nashua, which is a designated metro area. The current districts do not. In addition, I've done a better job of keeping counties whole, keeping cultural boundaries, and keeping geometric shapes.
New Hampshire has five districts to elect members of the executive council. Perhaps the congressional districts could take two-1/2 districts each.
Executive Council districts.(PDF)
The executive council districts are hideous. District 2 snakes from Keene all the way over to Dover. It also throws Manchester in with a bunch of townships to the Northeast...which makes no demographic sense if you know the area.
District 1 is the only one that's okay. But really Carroll county is quite isolated from both Coos and Belknap, there is a geographic reason it's part of NH-1 in the congressional districts.