I tightened down all the transformer hardware as well as the ground screw on the chassis last night. Used some needle nose pliers and a screwdriver so it's about as tight as it's going to ever be. I also re-soldered the pot and 9-pin socket just in case I missed a joint last time, and cleaned out all the tube pins with de-oxit but nothing has worked so far.
Just to clarify, there's 2 separate noises going on: one is a buzz in the right channel that increases with volume, and the other is a 60hz ground hum when I touch the input tube. The ground hum goes away when I touch the chassis.
I tightened down all the other socket screws and hardware just in case it was another loose screw but that didn't help either.