Smallest AC that a Honda 2000 will Run?

We just installed one on our 1990 hard side Shadow Cruiser in June. The Honda 2000 runs it fine here in Oklahoma. The humidity doesn't seem do make any difference except in the run off water from condensation. We knew going in the AC and microwave wouldn't run safely at the same time. No biggie. What did become an issue was that the outlet provided for the microwave was wired in with the service to the AC for some strange reason, and not at the breaker, in the wall somewhere. It's an old 45 amp converter set up. We simply moved the microwave over to the cabinet closer to the bed and plug it into the receptacle there that is on a separate breaker so that when on shore power we can run them both. Our older Polar Cub on the horse trailer ran fine, the same as the new one, on a Honda 2000 genny as well. The new ones are supposed to be even more energy efficient so I don't see a problem. However that seems to be the comfort limit for the generator as the A frame hard side camper we had for a time had a 10,500 btu AC/heat pump combo and the Honda didn't like it very much. Anyone needing a really cheap 9200, new PM me.