Hi Ropdoc,
a 7000 watt generator is overkill, may be noisy, may have a poor wave form (the television may not like it), and may be expensive to run (lots of fuel consumption).
I'd suggest looking at one of the inverter generators. They cost more, but are quiet and much lighter weight.
While I can run my roof air on battery power via the inverter, one does have to recharge. If I need the roof air it is far more cost effective to find an inexpensive campground. For example Nebraska has 14 free campgrounds that provide shore power.