I have a 2012 32TSBH, and it just happens to be sitting in my driveway waiting for a trip this weekend!
I went out and took a look, can also post a picture if you need it. When the doors are fully open, they just about touch each other. There is a gap approx. 1" between them. When I closed both doors, they do seem to "overlap" the back of the entertainment console. What I am getting at is, if you are very brave, you might be able to apen up a space for a mount by cutting an "L" shape into the inside edge of each door to give yourself a square that might be 5-6"wide, but I surely wouldn't mess with it.
I haven't bothered with a TV in the master BR. I miss the rotating TV from my old 32 BHDS, but with the way this TV articulates on the arm, my wife usually sits on the couch, and I lower the table on the dinette and use it as a big couch. The kids are usually asleep, or at least a couple are (we have 6). At some point I may mount a small TV, maybe with a built in DVD player but would use the specified area. My dealer took off the sticker as part of the prep, but it shouldn't be hard to find with a stud finder.
2012 Jayco 32TSBH
2004 Ford Excursion
ProPride 3P / Tru Control brake controller
Roadmaster Active Suspension