Sounds like you are on track to enjoy noise free solar power
500watts is good - next step choosing the panels, controller, wires, connectors, switches, fuses, etc....
It will easily keep two 6Vdc batteries charged up if you have the sunshine
and not too many other loads
Modern HDTV's LED/LCD TV's in a RV should draw no more than 75watts (or about 6amps at 12Vdc) for any TV sized 19">32"
Two GC Batteries with 220amp/hr - at 50% discharge you should be good for 100amp/hrs of evening / night time use when fully charged up - Over 10hrs of TV
A reference point my 19" CCFL/LCD draws about 36watts or 3amps DC