The 3,000 watt Honda is a good choice and should be able to run your AC. A 2,000 watt generator, however, is marginal. MAYBE it will start the compressor and run the AC -- provided your converter isn't also trying to recharge your batteries, and also provided that the stars align for you. Many people have found the 2,000 watt unit works great at home, but come morning out in the boonies, and the day starts heating up, it's a no-go because of that darn converter and those batteries you ran down with lights in the night.