My dad went with the larger 3000 watt Honda generator, it will run his camper easily (including A/C), and for an outage at the house will keep the furnace blower running if needed, and can cycle the fridge on and off to keep things cold.
The hondas are expensive, but reliable and the most quiet by far. They also have the best service/parts availability.
As far as second best, I've heard decent things about the Yamaha units as well as Champion. There are a million knockoffs from harbor freight, northern tool, tractor supply, etc., but I'd stay away from them. Expect a lot of noise regardless of what non-honda unit you buy, and don't plan on buying one any time soon as the whole eastern U.S. has already bought them all up.