In my opinion 12v dc tvs aren't desirable. They was a demand for them years ago when folks wanted to watch tv going down the road in a motor home before the tvs got more energy efficiant and the small inverters became more efficiant, smaller, and inexpensive.
From the description the OP doesn't have 12 bvdc available so I would simply run 12 vdc to a 12 vdc outlet by the current tv and get a small inverter to plug in. Simpler, more economical and the components are easily replaceable.
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Marshall
2012 Laredo 303 TG
2010 F250 LT Super Cab, long bed, 4X4, 6.4 Turbo Diesel
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