Honda EU3000 Is What You Need!
Lewster is THE MAN! when it comes to this stuff.
OK, long story short: Get yourself a Honda EU3000 generator. It's an inverter type so it's quiet. Nobody will take a hammer to your spark plug. It will run your a/c. The End.
Me, I use an EU2000 Honda. It runs everything but the a/c. I plan to eventually buy a second one (this might be an option for you to consider) and parallel them together so I can run everything with the a/c. I have not boondocked in the summer when it was so hot that I had to have a/c...the 2000 runs the vents just great and that has been fine for us. Some day I will get a second EU2000....but for you, I'd just get an EU3000 and call it done.
Are inverter generators cheap? No. Do they work well? Yes!
Go buy an EU3000, keep yourself cool at night, don't make the natives mad with loud noise, and be happy.