Unless you are planning to watch TV A LOT, your biggest draws are the lights. We have LEDs now but before that we bought 4 Harbor freight LED puck lights that can hang on their hook or magnetize about anywhere. They run a few bucks and last a long time on 3 AAA batteries. Lower power TV would help too, we used a 7 inch rechargeable that we charged in the truck over night.
When we did use the generator for charging we did as much as we could while it was running to keep those loads off of the battery. Watching TV while it runs would make a big difference.
I agree about the solar and would suggest LEDs too.
Other than that I suggest some driveway testing.
