A number of possibilities comes to mind:
1) The existence of multiple signal-ground return points within the chassis is probably contributing to ground loop hum. See Merlin Blencowe's suggestions for grounding arrangements on the Valve Wizard site.
2) Also, it could be over time, that oxidation has built up between surfaces where components such as pots and jacks are bolted to the chassis. These components may need to be dismantled from the chassis and the surfaces thoroughly cleaned and then remounted.
3) In addition, if you (or someone who has worked on the amp previously) has done further (or replacement) soldering to the chassis (esp when replacing components such as filter caps), it may have produced poor electrical bonding to the chassis - which also would contribute to hum. (When soldering grounds to a steel chassis, you need a totally clean surface, a powerful (hot) iron capable of heating up sheetmetal (preferably a flat tip iron 200W or so), and sufficient solder flux (e.g. separately applied solder paste). (They had big irons in the Fender factory for this). But this also depends on what work has been done on the amp previously - some well-intentioned modifications may not have worked out previously, resulting in poorly considered signal ground returns - in which case go back to 1).