I don't know if you have already made your purchase, but I recently upgraded the piece of junk Jensen DVD Stereo in the our motorhome with a Sony BDP-S1500 Blu-ray player. It comes with a wall wart that supplies 12v to the back of the player. So I cut off the wall wart and hardwired it into the coach.
The model is a couple of years old, but was only $25 as an open-box, looks-good-as-new condition unit from flea-bay. So far it works great. The kids haven't used it while I'm driving, so I'm hoping it doesn't skip when we hit bumps. But if you want to keep everything 12v this may be the way to go. There was another Sony model that was 12v but I don't remember the number.