I have one of those around, a friend's that has been waiting for repair a couple of years now. It has a burn hole in the PCB, I just can't get down to it...
I repaired one in the past with a (initially) blown output stage, a bloody mess... Being DC coupled it blew transistors out quite far back.
You say it runs hot, is the idle current adjusted correctly and stable?
If both channels have the same problem, I'd first suspect things common to both (i.e: power supply) of course it could just be bad luck and you have the same faults independently.
Try scoping both outputs simultaneously to see if the mV variations follow one another or if they are pretty much independent (if they are linked to idle current variations there could be some interaction from one channel to the other through the power supply).
The 5 legged Sony transistors used in the differential pairs in amplifiers of that era are a very common problem. Usually causing crackling sounds, or worse on DC coupled designs.