Actually, most LQ trailers that I know of don't need a generator to run the heater (furnace). It runs on propane, and can run all night just fine - doesn't need a generator to run. Batteries can be recharged by running the generator for a little while during the *daytime.*
Or, you can get a solar battery on the top of your trailer to keep your batteries charged and you can run your heater all weekend and not have to use a noisy generator.