Hi billyjoe,
As *JMF* has already noted it's hard to work out as many things might be happening altogether.
My thoughts on this;
ANY Tube amp with that many preamp triodes is bound to hum, some worse than others. From the pics I can't tell if the preamp heaters are DC or AC powered?
If they are AC heaters then with so much gain you *WILL have Substantial HUMMMMMMMMMMMMM*

I recently worked on a Laney 30 watt unit and it's 2nd channel Hum was so bad the owner wanted to sell it for similar reasons you mention here.
The gain on the laney was insane so I just turned it all down to an exceptable level and Now it gets played at all his gigs.

So I can understand the chaps reluctance to fix it knowing that without some modification it will always hum.
Other comment is the yellow wire crossing the top of the 3rd Electro from left is Cut rather badly I'd get that fixed.
You could ask a good teck to pull one of the triodes out of circuit and rewire it to a more civilised circuit,, you will still have more gain than you will ever use,,, well if you know valve amps you know it can be done.
I get looks of confusion when I try to explain to the young players that Brian May used the *Normal* Ch on his Vox amps,,, not the *Bright Ch* as most would assume.
Now if you follow the signal in a Vox Amp the Normal Ch passes through one Triode (half an AX7) and then after passing through a Volume control goes Directly to the PI and power Amp.
With a good guitar and a simple treble booster you can have masses of distortion,,,,,,,and very little hum even though it's still using AC heaters.
Anyone who builds an all Valve Amp using more than 3 triode stages
(1 1/2 AX7's) does not understand valve teck.
So even if you get the potential ground issue fixed it may still hum quite a bit.
Sorry I can't be of more help. Phil.