I still use self modded BPT 3.5 signature. I'd bet on the magnetic thermal circuit breaker on/off switch as culprit. I'd open up unit, try to identify part numbers on switch, probably can find replacement at Mouser or another parts house. Otherwise local tech is your best hope, shipping will cost arm and leg.
Perhaps I can id switch on mine later today, although may not be same switch as in your model. I believe mine is a Carling manufactured switch, can't be sure.