The driver heater power measurement (2.7+2.7vAC) is disturbingly low. It may be a meter anomaly, some inexpensive meters become inaccurate at low AC voltages, but a low heater voltage would give this issue so it's worth checking the voltages and wiring more carefully. Measure the voltage between the red and black wires at the power supply board first, then between pin 1 and pin 9 - and use a higher resolution meter scale if you can, so you can see three digits.
The fact that the 300B filament voltage is spot on implies the power line voltage is right, so the transformer should be supplying 6.30 volts AC.
You should be able to adjust the cathode voltage kreg(A) as low as 2.50 volts DC, but you did not get lower than 3.6v in the Nov 13 measurements. That may be the actual problem. Reflow solder connections on the 431 chip and the trimpot. (Yes, I know that's going to be a time-consuming hassle!)