The only real thing I'd look for with a TV for the RV would be the ability to run on 12 volts. That, and as said above the ability to have a ton of different inputs.
I do recommend taking it off a rack and storing it with the screen protected when storing the RV off-season. This way, if the rig gets broken into, the TVs can vanish without a tweaker tearing the arm off the RV's wall. It is one thing to lose a $200 TV. It is a lot worse to have to deal with that, as well as trying to fix damaged studs and such.
I have had problems with consumer grade electronics in the trailer. So when I went to get a TV for the new TT, I shopped a little more carefully. I didn't want the expense (and space) of installing an inverter in this trailer, so I looked for something 12 volt with a low amp draw. Conformal coating was also desired as it would hold up to the less than ideal environment in the TT.
I ended up with a 24" LED model that runs off of 12 volts. The TT came with a stero system and DVD player that is already 12 volts. The combination seems to be pretty good.
You will want to remove the TV during the winter if the trailer sits on a storage lot, otherwise, eventually someone may remove it for you (but not be willing to put it back in the spring).