For the same price as a Honda 2000i you can get a small solar panel setup that will allow you to dry camp for weeks at a time without having to do anything (no setup, no gas, no noise, no maintenance, no trouble).
For the past six years we have lived full-time on a sailboat and in trailers with solar power and no hookups. If you want to learn a little about solar, we have lots of info on our website.
If you do get a generator, I'd suggest the Yamaha 2400i. Ours has seen very little use, but it is able to run our 15000 btu air conditioning unit when we need a/c. Even after a year of no use it still starts on the first pull.
RV Solar Power InstallationRV Solar Power Tutorial - Part 1