Guess what? You're right where you probably should be, given modern wall voltage and your specific setup.
The
5F2-A Princeton layout and schematic do not have voltages listed. Despite a somewhat different power supply, we should look at the
5F2 Princeton layout and schematic as a guide.
The 5F2 shows 19v across the 470 ohm resistor. You have ~21v (if our math matches yours). 19v across 470 ohms would indicate ~40mA of cathode current.
But your plate and screen is at 385v; the 5F2 schematic shows 305v (mostly due to the choke ahead of the plate node). The extra 80v is consistent with the extra 6mA of cathode current. It's also consistent with actual voltages/currents in blackface and silverface Champs and VibroChamps (regardless of what the schematic says).
Screen current is not a constant percentage of cathode current, but there is a rough ratio by which cathode current splits into plate and screen current. Judging from the
6V6GT datasheet, screen current is around 1/10th of plate current, or 1/11th of total cathode current. Your cathode current is .046A, so your actual plate current is probably ~42mA.
385v-21v = 364v
364v * .042A = 15.3w
Your 6V6 is running on the warm side; so did ALL the Champs/VibroChamps/Princetons that left Fender. Does it redplate at idle?
If yes, follow PRR's suggestion and get a pack of 100 ohm resistors, tack 10 of them in series, and use a jumper to select your total resistance. Parallel another 100 ohm across an existing 100 ohm to get 50 ohm in-between values. Find the resistance that works for your tube.
If no, forget about it. The tube will run cooler when passing signal than at idle. Your next tube may idle a little warmer/cooler; do you really want to go back in to change the cathode resistance?