Hey there TommyD! Just wanted to touch base as I just finished work on someone else’s 5F1 build that had a nasty hum. This one did not match your symptoms exactly, as the hum changed with the volume control. But there may be something here that helps.
First, mostly as an exercise, I went through the same steps you did. I rewired the ground scheme to separate the pre amp grounds - no change. I floated the heater center tap ground to the 6V6 cathode - no change. Then I rewired the heater wires to tuck in the corner of the chassis instead of flying over the top - no change. I’m guessing it wasn’t heater noise.
Next, I started disconnecting components at the input jacks until the hum ceased. When I disconnected the white wire that connects to the two 68K input resistors to the 12AX7, the hum stopped. I pulled the resistors off the board, removed the wiring on each end of them, wired them directly to the input jacks, and ran a shielded cable to the tube socket. At that point, I had a pretty quiet champ. I then replaced the wire from the 12AX7 to the volume control with a shielded cable and had an extremely quiet champ. The shields of each cable are only grounded on one end of each cable.
You might try those last steps. Running the input resistors right off the input jacks made the most difference. Hope this helps!