Congrats on the new generator. I have a Honda 2000w I bought back in 2005 and it has been a great generator. I am waiting for warmer weather also to see if it can handle the a/c in my camper. In my TT I had, if everything was off, the Honda would run the a/c. It was a little hard to start but once it did, it ran ok. Turned something on and it would bog down and sometimes quit. I had a 13,500 BTU unit in the TT so maybe it may work. If not, no big deal.
Good Luck with your new genny.
2016 Forest River Surveyor 201RBS
2014 Chevy Silverado 1500 4.3L