Hi, dcgillespie! Is there any other similar tricks? Actually I'm having problems not with Williamson, but with 2nd schematic which seem to be in need for total reworking. Small HF oscillation (about 8 - 20 mV) on output, at 30 - 60KHz, and LF oscillation, at around 1 - 2 Hz. I tried to suppress HF oscillation with RC networks shown in dark-red without any success.
I suspect this could be due high capacitance between output transformer primary and secondary windings - about 5nF, or long HV wires lying around table.
Leakage inductance is 9 mH for one model and 18 mH for another. so this should not be an issue.
I tried to replace LTP tubes (6N6P) with 12BH7 and 6SN7, adding screen stoppers with no success. With the oscilloscope check I found source of HF oscillation is LTP.
For HF oscillation try 330pf in series with 10k resistor between anodes of phase splitter.