We also have the 9200 Polar Cub Mach AC and a Honda 2000. It runs the AC pretty much anywhere just fine and our LED lighting and short time water pump But NOT that and the microwave at the same time for more than a couple minutes before the warning comes on the generator. Run the fridge on propane at those times and water heater is manual gas. The TV and satellite receiver don't seem to bother it at the Dame time as the AC either.  As we don't have a battery to charge or inverter to run there isn't as much draw. The Honda starts at 2000w but runs at 1600 to 1800 so watch those numbers. It's really not that big a deal to turn off the AC for a couple minutes to do something else that requires more power. At least not to us.