These are very nice sounding amps...and very forgiving...
I have repaired alot of these and it bigger brother the Twin in the 80/90... most of them needed tube swaps, reverb tanks.
They have those "cardboard" mallory caps in the supply...almost never fail...but they can fail...
To your problem... It sounds to me that you done this amp right so far... Cleaning pots, Cleaning tube sockets etc... and now also probably resolderd the Power caps...That was really good advice from previous posts.
First of al... the circuit diagram
The hum you might experience can be a few things, but most likely and inbalance between the two 6v6 tubes... This inbalance usaly means "Swap Tubes" and they beter be good new ones... go for JJ or Groove Tubes of Sylvania if can find them..They need to be a balanced set... meaning Same inside vacuum and Bias current
After replacing they need to balanced... since this is a Two tube pwer amp it is simpel.... adjust the Balance potention meter on chasis near the power tubes..
Before replacing the tubes....make sure your caps are empty...let them bleed and adjust the tube socket connection pins a bit tighter of that 6v6 tubes
The GZ34 is your rectifier... If you change the power tubes... why not change the the Rectifier... so do it...same goes for the phase splitter... 12AT7 near the 6v6...
done all that?
Now your power amp and supply is trusted....
You also might want to clean theinputs sincethey have switching jacks witch can foul up as easy as a potentiometer...
Al this should take care of the humm..If not, send me PB...
You might want to concider buying a fresh set of tubes al the way... will cost a few bucks but never underestimate the georgious sound a new tubes set gives....