So it turns out I'm dumb sometimes. The whining noise people are getting with the sweep of the volt knob has nothing to do with microphonic tubes. When it's pumping high voltage, the switch-mode power supply I use runs at a frequency of about 45kHz, far above human hearing range. If I'm telling the power supply to drop the output voltage, it does that by dropping the switching frequency, that's what the Volts pot is hooked up to. The whine drops off when you get around 1:00 or 2:00 because that will be right around when the power supply passes 20kHz or so and sits nicely above hearing range. When the volts are turned low the power supply is switching inside hearing range (around 10kHz at the lowest setting I think), so you can hear it.
So I guess the good news is I figured out the problem mathematically, the bad news is that this means a new tube won't fix the problem, I have to figure something else out, which is complicated as it won't likely be a user serviceable fix and I'm going to end up recalling all the Westinghouses I just sent out.
So the easy fix - pretend it doesn't have a Volts control and run it at high voltage all the time

I guess the main reason I made it controllable at all was for the people that still wanted to get
exactly the Edison tone, otherwise I probably would have just had it hard-wired for high voltage as I think it sounds better. I guess that's what I get for trying to make everyone happy
The hard fix - I redesign to either heavily filter the regulator to reduce the whine, or use two separate supplies internally and have a "LV/HV" switch to go between the two instead of a pot to sweep them.