Light, microwave, and a TV? I'd suggest a Honda inverter generator. They are very quiet. I was 15 feet away from one talking to some people and they had a fan running in their camp and they asked how it was running when the generator was off. I had to tell them to walk a little closer and listen, they didn't know the generator was running.
I figure 2000 watts should run a microwave without turning off the lights or the TV if the lights and TV aren't huge energy hogs. The Honda EU2000i costs about a grand but if you are camping, I'd say it's worth it.
These generators throttle down to a lower speed when their load is low and they run for a long time off of a gallon of gas. Longer than a 5HP motor connected to an alternator would.
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