Circling back to this, it's been a busy time but I've been able to get back to modifying this amp. Thanks Latole for the response, my amp is definitely the second linked schematic.
So far I have replaced all electrolytic caps, repaired some noisy solder joints, added adjustable bias, and boosted the reverb signal by adding a cathode bypass cap. Cleaning the reverb jacks seemed to have solved the oscillation problem. I also put in a PPIMV that works really well, and the amp sounds good, though there is some noise to work out.
Next up is to replace the power cord and remove the death cap, which I should have done first... I think I will convert the ground switch to a negative feedback control, and maybe add a Vox Style tone cut to the power section. Then I'm looking at converting one channel to a fender tweed, and another to a blackface, and maybe the last one to a marshall.
I also found out that 2 power tubes are to blame for the burning smell. They are biased properly, but I think their heaters are just getting old and starting to cook. I tried swapping the tubes, and the problem stuck with the tube rather than the socket. I'm going to order some new tubes and replace the resistors on the sockets with metal film. Is that likely the best course of action? I've heard of some people using hot tubes til they die, but I don't want them to cause any damage to the components.