... My latest build has a moderate background hum ... If I pull the PI tube the hum is gone. ... If I shunt the PI plate to ground via a .1 cap the hum disappears. The hum does NOT disappear if I shunt the grid or cathode to ground (through the cap). ...
When you shunted the PI plate to ground via the cap, did you lift the end that connects to the output tube? If you didn't, shunting to ground on the output tube side of the cap also shorts out the bias (which you'd think would make the tube redplate). Shunting to ground on the PI plate side of the cap also kills all voltage to the PI.
I ask only because I once had an amp to repair with a failed bias filter cap. That amp hummed even with the phase inverter pulled, which was how I identified the bias supply as the problem. But let's assume your bias supply is good, based on your observation is doesn't hum with the PI tube pulled.
The remaining likely culprit is power supply hum being coupled into the PI grid by the fixed-bias arrangement, and passed to the output. Are you
certain you have good grounds for all 3 filter caps at/between the PI and rectifier? And a short, direct ground path from the bottom of the PI cathode load to the 3rd filter cap?
Separately, I'm a little curious about the 100kΩ loads, as those would typically be 56kΩ in this circuit with a 12AX7. The split-load inverter won't provide any gain, so there's not much call for larger loads resistors.