I have not seen any 32" LCD TVs that are 12v DC powered. I think you will need to power it via AC shore line or get an inverter (converts your battery's DC to AC). I would get a newer LED TV which required less wattage than standard LCD TVs.
We have one in our Rockwood 8265WS we picked up on the 7th. of this month. It is A.C. only. Sam & Mary what part of Michigan are you from? We are in the Allendale area.
A new 8265WS rig. I've had mine since August. I'm bringing it to the Forest River Rally in Branson MO in May. Have you heard we are having a rally of all Forest River rigs? See my signature for the line and more infor.