... I'm now running [EL84's] at 115% plate dissipation. Is this crazy or within acceptable limits?
... 100 common cathode resistor, 307 V plates, 9 V cathodes. One weird thing is that the screens (100 ohm resistors) are about 10 volts higher than the plates. ...
Plate Dissipation = Plate current * Plate-to-Cathode Voltage
Plate Current = Cathode Current - Screen Current
Screen Current = Voltage (across legs of the Screen resistor) / Measured Screen Resistance
Plate-to-Cathode Voltage = Measured Plate Voltage (to ground) - Measured Cathode Voltage (to ground)
Cathode Current = Measured Cathode Voltage (to ground) / Measured Cathode Resistance
You have Plate-to-Cathode Voltage of 307v - 9v = 298v, and a Cathode Current of 9v/100Ω = 90mA (assuming the cathode resistor measures exactly 100Ω). That's for 2 tubes sharing a cathode resistor, so we'll assume 45mA per tube (you could insert a 1Ω resistor between each tube's cathode and the top of the 100Ω resistor to know individual cathode currents). 298v * 0.045A = 13.41 watts.
But we didn't subtract out screen current, because those numbers were unavailable. So plate dissipation is less than the calculated 13.41w/12w = ~112%.
... I started with a 110, went up to 120, and then put a 100 in there as it seemed like the lowest dissipation (both plate and cathode dropped ~5 volts). ...
Dissipation went up with the 100Ω resistor, though it may have seemed to drop.
1. Plate voltage dropped because plate current increased. The output transformer winding has resistance, so when plate current increased then the voltage drop across the OT winding increased, leaving less at the EL84 plate itself.
2. Voltage drop across the cathode resistor dropped because the resistance itself dropped. 80mA (40mA per tube) through 120Ω give a voltage drop of 9.6v, but 80mA through 100Ω gives a voltage drop of 8v.
3. Plate current always increases if you reduce the bias voltage, all else being equal. If the cathode voltage dropped 5v (this amount seems unlikely) from ~14vdc to ~9vdc when using a 100Ω resistor, then bias voltage was reduced and plate current increased. It is likely that plate dissipation went up with the 100Ω resistor because the increase of plate current (as a percentage) is likely much greater than the drop in plate-to-cathode voltage (as a percentage).
Try raising your cathode resistor if you're concerned about tube dissipation, and go through each of the steps outlined earlier. If you want to be conservative (or don't want to take the extra steps), you can skip calculating the screen current and assume cathode current equals plate current. The tube will actually be running cooler than you calculate.