There is no driver transistor, it's powered directly through the cab switches. Newer games buzz because they're being pulsed through a transistor, but that's not the case here. Usually a buzz on an older game with DC flippers is due to the eos not opening, or miswired.
Coil isn't getting hot after play?
Tried re-mounting the coil stop?
If you hold the plunger while it's buzzing, does it stop?