First, here are the pictures of my TV restraint.
Second you can run your TV to the existing media stereo center and existing indoor and outdoor speakers and antenna very very simply. Right under the stove, is where the cable connection to outside is. If you disconnect that you then have a coax cable that runs all the way through the trailer and under the shower to the media center. Now you can connect to that wire and run your TV to the media center. I probably need diagram this because I'm probably not going to make sense.
Buy this RCA analog to digital converter for $8
and mount it near your media center. It will take one coax input (antenna) and one red yellow white RCA connection (from the DVD / radio). The antenna coax can run through the booster and then to your television. The booster takes one coax input and three coax outputs (2 in the back, 1 in the front) I can't remember if I put the booster before or after the RCA converter. Anyway, that way you won't have to have wires all over your ceiling and you can use the existing speakers and antenna.
I can draw a diagram if you want, maybe, assuming I remember exactly what I did LOL. I ran the media center coaxial cable and the cable coaxial cable separately up to the opposite side of the wall by the stove and made a connection panel instead of using an A B switch because we rarely watch TV and when we do we rarely have cable.
Let me know what you think of this!