I'm assuming you are not planning to use your TeleVision as a Tow Vehicle.
had a 12 volt Furion TV with a separate Furion DVD player. The player failed in a very short time and I replaced it with a cheap generic 120 volt model that I ran on a cigarette lighter inverter. The new one worked better in every way and was only about $30.
My new HQ19 has a Scepter brand TV with built in DVD player. I don't like it for watching movies. It will suddenly go to low resolution and/or get the sound out of time with the picture. This seems to happen in just about every movie. Very annoying. And it is not Blu-Ray, which seems to be a good thing to have. The Scepter is also not 12 volt, so the on-board inverter must be on to run it.
When you find one you like, please report back with what it is.