That is quite a spiders web man! Or should I say a storks nest? 
Well anyway, I can't make chocolate from what's happening in there from these pics indeed...
So the AC voltage are two separate windings from the transformer? I think the hum you have is induced by unsimilarities in the grounds of both amps. The fact that the source grounds are meeting makes it even worse...
I never built an amp like that with dual board, so I can only give some advises based on what I think you should try...
You can try to feed them both the same DC voltage.
You can try if this helps at low power by the following method. Just only feed one amp from the transformer, then pull two (thin) wires from the DC voltage of this amp to the AC input of the other amp. This way the one amp will run at slightly lower voltage than the other, but at least they'll be at the same ground potential (especially AC potential!!)
When this helps I'm afraid you should parallel the transformer outputs, use one single rectifier and go from there...
What could also help is pull out the ferrite choke that connects the AGND and PGND on one amp. Then connect the PGNDs of both amps together and connect the AGNDs of both amps together...
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Pics can help a lot to diagnose something from any place on the globe...