...I think a lot of the old tube amp designers had it right when they designed with volume pots on the input of amplifiers. ...
Yeah, I think so too! It's what you call an "engineering compromise" - the best solution would be to have every component follow a strict standard of sensitivity and signal level, but since that's never going to happen you look for the next best thing - the ability in this case to adjust sensitivity as needed.
The high sensitivity does play a part in this puzzle. I suspect the high impedance (100K vs. 15K for the Whispers) also plays a part, making the wiring more susceptible to capacitive coupling of hum. If that is the case, shielding or moving the wires or reducing the impedance are the logical answers. I know of no way to tell which is the best of them, short of trying each of them and taking data.
We have gone back and forth with the power switch - it's always going to be quieter if it's back by the IEC entry point and far from the small-signal area, but it's darn inconvenient to reach around the (hot!) tubes to get at it.