We have no idea if the OP even has a TV. lol
If you want to go low power, I have a 7 inch rechargeable LED flat screen TV that can be charged in the truck in between uses. It could be plugged into the trailers 12v and run all day and still not use a lot of power. We don't get reception so usually we use a nine inch portable rechargeable DVD player instead.
Last trip we took a 15 inch TV/DVD combo that I replaced the brick with a 12v cord. It's rated at 65w.
We do have a 19 inch flat screen rated at 65w but it's 120v only. Will be nice and easy to run on a small inverter if we ever have reception.
A lot depends on how much power the TV uses, how long it will be running and how close are you to draining your current battery in between charges. Last year we use a generator for two hours a day to charge our single grp 27 battery with 95ah when fully charged. We do use the furnace at night but also use LEDs and had no problem running the smaller TV or DVD player a few hours a day.
You mention solar.
Solar may work well for you IF you park in the sun or can put a portable set up in the sun AND can make your battery last a day or two between charges. (some days are not so sunny)
We started using a 230w portable set up this year and not only does it keep the battery much closer to full than the daily 2 hr runs did, it can run the TV during the day without the battery ever losing a volt. Actually it'll run the lights, furnace, fans and the battery will stay in float. The only time the battery is not in float or above is after sunset and before charging starts at 6am. the discharge on our larger battery is even less over night.
Last thing is if you are going to need a dish and receiver or there is a amplifier on you antenna, make sure you consider the power usage there too.