... All buzzing ceases with PI pulled. Disconnecting the PI input cap does nothing to abate buzz. ...
... There was silence when jumping the two 1M PI resistors. ...
When you remove the PI tube, the buzz stops. And when you kill signal-input to the PI tube, the buzz stops. I interpret these to mean the buzz is not due to the power supply, and not due to the tube itself. This leaves the buzz as being a signal applied to the PI tube.
But when you unsoldered the PI cap the noise continued. This may mean the PI tube is not receiving a 700Hz signal at its main input grid, but perhaps through the feedback loop (to the other grid) and/or its cathode.
When you disconnected the feedback loop, you noted the noise got louder. The power section would be more-sensitive without the feedback, so this is an expected result. Could this mean "noise applied to grid & cathode?"
What happens when unsoldering the 500pF cap AND the 820Ω feedback resistor? We would hope the noise is stopped.
If it isn't, I notice the B+ lines emerge from the doghouse very near the PI components. It sure would help to use a scope to verify no-700Hz on those (they shouldn't have any because of those new filter caps). I would also be tempted to tack-in the old output transformer & rule out some oddity with the new part.