I have a Honda 2000 and a polar cub 9200, ac it works. I have run it at over 8000 feet. I have stayed cool in my Lance 1055 in 110* heat running off just the Honda 2000. You will not be able to run more than a few lights and the fridge and a 12v tv when running the AC on the Honda lol.
Seriously though unless you want to be running a big screen and satellite, the microwave, lights and AC all at once a 2000 and a polar cub will do. If you need more power to run a bunch get a bigger genny or two Honda 2000 wired together but for a TC a 9200 BTU AC is sufficient unless you like it like an ice box when its 115 out instead of high 60s inside