This might be something you can try if you want to. Just be really careful about it.
If that extra secondary to the tuner socket isn't the problem, maybe try unhooking the PS transformer from the amp chassis.
With just the PS transformer unhooked from the chassis, jimmy up a cord with a inline fuse if you want on the line side. You'll be checking it unloaded, so make sure to tape or use wire nuts on the secondary taps and heater taps, so they don't touch each other, or you. Same with the primary connections.
Hook up the line and nuetral to the primary wires of the PS xformer. Set your DMM to AC voltage at the highest setting.
Now I'm not really certain where you would use the ground of the DMM, I would guess the center tap of the PS transformer. (don't trust people on the internet) Then take the hot lead and affix it to one the PS transformer's end bells.
Plug it into a variac, and ramp it up to 120 volts AC. You want to have everything setup so you are checking for AC leakage from the PS transformer's chassis without touching anything, except that variac knob.
If there is any AC voltage leakage from the PS xformer to the chassis or from the CT, I would guess the DMM should detect the AC voltage on the PS xformer chassis itself. I would think if the transformer is shorting AC to the chassis, that it would take out the fuse...but I'm a forever n00b, so take it with a grain of salt.