An "ideal" replacement TV is one that runs directly off 12V to use less battery energy. Unfortunately the bigger TVs drop the external 12V-ish transformer. Also, not every smaller TV has an external 12V-ish transformer. You have to shop around for one.
It is not a disaster to have a 120V television requiring the need for a separate power inverter to convert your RV-12V to 120V. It's just going to drain your house battery faster.
I think RV supply centers sell TVs with an external power supply, but at elevated prices. If you find one you like at a Camping World for example, you might find the exact same TV sold at a regular store or on-line for a lot cheaper.
One thing about television model numbers. Each store has it's own specific model number for virtually the same TV so you cannot exercise price-matching. Differences if any are miniscule. So keep that in-mind when shopping around.