If I recall correctly, the tube rectifier in your amp is bypassed with a solid state device as well. This is making me wonder if its snubbed properly. If not, it could certainly contribute to hum. Tube rectifiers on their own don't need to be snubbed.
The term 'snub' refers to a network, usually a resistor and capacitor, that prevents the capacitance of the rectifier from interacting with the inductance of the power transformer in such a way as to form a tuned circuit with a resonant peak. If that peak occurs, the rectifier will make noise. Its a bit more complicated than that but that's it in a nutshell.