Large airports are usually (read 99.99% of the time) popular places. Thus if you want to play relatively peacefully, you'll need to accept to play in some 2nd tier airport.
Here are a few, usually not very populated, but quite interesting nonetheless:
- Santo Domingo: rarely used, most interesting airports open in the 90s, though. Good LH demand, good SH demand, medium MH.
- Keflavik: a bit tough to play due to the range needed, but quite nice, and close to both N-A and Europe.
- Bucharest/Sofia: mostly SH and MH, possibility to expand abroad once they join the EU
- Kiev: if you start during the times of the USSR, beware not to base outside today's Ukraine
- any central american minor, usually a one-base airline
Other possibilities are to go for a different airline profile. You could have a commuter/regional airline in Europe without a problem, as long as you limit yourself to smaller airports. Mostly in the UK, Germany and Italy, also possible in France and Spain. Or China. Huge market, avoid the largest 20 airports, but still very decent (domestic) demand in the smaller ones.
Or some island hopper in the Pacific or Caribbean.