The only thing that I can think of is pretty far-fetched, but then so is your problem, so I'll have a go at it.
What happens if you move the antenna wire off the TV bracket and place it elsewhere, such as lying on the floor? If that makes the amp work properly, then somehow a high level of RFI or other strong electrical noise (some flat panel TVs generate a lot of it) is getting into the amp via the antenna connections and then leaking into the power amp section, where the protection circuitry sees it like it would an ultrasonic oscillation and trips the protection. It would take a faulty part or parts to do this, normally, and as I said, finda far-fetched. The antenna shouldn't couple into anything but the tuner circuitry.
If moving the antenna doesn't change things, then I suspect something similar to the above, but with strong radio signals leaking into the power amp instead of external RFI noise generated by the TV. Again, this means a faulty part (capacitor or somesuch) that is allowing this to happen inside the amp.
'Tis a weird'n, verily.