New Jersey
With just one county under 100,000 inhabitants, just 6 under 200,000, and only 3 over one constituency in size, 5 additional county splits is the best I could do... :/ (Could be dramatically fewer on a 5% variation, I think...)
My analysis:
Strong Democratic
Democratic (presumably most of southern Bergen with central and northeastern Bergen; my district)
Democratic (presumably northwestern Bergen; Paterson-Clifton-Passaic outweigh conservative areas)
Strong Democratic
Weak Republican, maybe stronger depending on how Essex is split
Strong Democratic
Democratic
Strong Republican
Democratic
Strong Democratic
Republican
Strong Republican
Weak Republican
Very favorable to Democrats (gain of at least one seat), but the current map was drawn to be favorable to Republicans.