A/C and a generator

I just ordered a new shroud for my ac so I discovered the number is 9201-776. FYI I was told that number is obsolete and the new number is 9203-5261. The specification label is easily viewable once the shroud is removed(three screws). Unfortunately I did not notice the draw. To the point of your question, i only use the my Honda 2000 occasionally while traveling but I do periodically run it at the house and when doing so I usually run the ac for a load. There has been no problem. I have checked the voltage on the outlets and found it to be in the 120 range while the ac is on. As others have said I keep other loads to a minimum. I also have solar and leds so my batteries stay up fairly well which reduces to draw of the converter. If you can handle the weight and size of a 3000 that is a good choice but the 2000 will do the job.