...what would be the best way to drop that screen voltage without messing the with the HT of the preamp.
You could use a BJT or MOSFET regulator/filter. You're probably familiar with the circuit:
Connect the drain/collector to the B+ where the screen was connected, and two resistors from there to ground to make a voltage divider giving whatever voltage you want on the screen. Connect that divided voltage to the gate/base of the transistor through a stopper resistor, and connect the screen to the source/emitter.
Stopper resistor value depends a bit on what transistor you use. It's the gate/base capacitance which is important here. Usually needs 100R to 1k, try 470R to start or SPICE it for a better idea.
Transistor will dissipate voltage dropped times screen current pulled, so will need to be bolted to the case at least, and may need a heatsink if you're dropping a lot.
Come to think of it, you could maybe put another resistor between the B+ and the transistor to share the dissipation, if you're dropping a lot of voltage. That's more math, though.
Bypass the output of the reg and the lower resistor in the voltage divider with capacitors to reduce noise.
Use a zener diode instead of the lower resistor in the divider to regulate to a fixed voltage -- the upper resistor then should be sized to give about 25% of the zener's maximum rated current for best results.
You still want resistors on the screen pins, as stoppers to protect against oscillation.
Screen will pull less current than before of course, but if you dimension the voltage divider carefully you can get it so the current pulled from the B+ is pretty close to what the directly-connected screen pulled. That way the voltage dropped in the choke will remain about the same as it was before, and the preamp will get about the same voltage no the plates, although it will vary less than it did of course.
Or you could fit an extra transformer, as Wolfeman said.
I'd go the regulator way 'cos it's smaller, lighter, and doesn't add a new hum field to the amp which might get into the signal.