If it was mine I'd pull the tubes and slowly bring the amp up on a variac. You need a way to monitor plate current so if you don't/can't repair the plate meter you'll have to use a separate DVM to monitor plate current (or watch the current on the variac). Given the symptoms you report, I'd suspect the grid bias circuit failed, allowing the grids to go positive and pull tons of plate current. Another possibility is screen supply failure.
But before that, I'd attempt to trace out the circuit. Plate current in tube amps is usually measured in the return side of the HV, so you'll need to figure that out. Also, you will need to figure out the grid bias and screen supply.
Always follow HV safety protocols! One hand in your pocket, never go poking with the AC on, discharge caps with a chicken stick, etc.
-Tony, K1KP