Finally I have had some time to do stuff...
I have found that the autotransformer seems to put out a little lower voltage than I expected. This causes all sorts of problems related to the various unregulated voltage rails.
This causes the voltage for the magic eye tube to fall to as low as 120V. They're designed to operate at 250V, the designed voltage in this unit is around 180V.
From my reading I have noted that these tubes can be operated at higher voltages (but low currents) to extend their life.
The power supply is a simple half wave rectified 500V AC that feeds a potential divider. A trap in the potential divider is grounded, and the negative voltages are used for leakage tests. The positive voltage is used only for the magic eye tube.
My first thought was to replace the tube rectifier with a silicon diode. I thought that removing the voltage drop across the tube might be sufficient. It wasn't. I tried a few variations like the one below, but I only got an extra 10V or so.
The second option was a voltage doubler. A voltage doubler will provide a much higher positive rail. Theoretically it could reach almost 900V DC with respect to ground. Practically, it won't get anywhere near that.
I used some 2kV 500mA diodes I have, and a pair of 400V 6.8uF capacitors in series to handle the peak voltages that are possible. Each capacitor has a 1.2M resistor across it to ensure approximately equal voltages, and a reliable discharge path.
This arrangement gives me approximately 550V DC for the magic eye tube.
This is what it looks like now:
Nice and bright! Maybe a bit too bright, I still have to adjust the biasing. I also need to adjust the potential divider to increase the -ve rail (it's about 30V low).
Incidentally, the image above shows the bridge in balance using a precision 100K resistor. It still needs a bit of tweaking, but it's pretty close.
I've realized I don't need to add an indicator to warm that the capacitor is still charged, the eye tube does that too.
Next time I have time to do some more work on this I'm going to make the modification to discharge capacitors through something other than the precision 2k resistor! At that point I'll also fit the new (and somewhat more delicate) precision 2k resistor alongside a big dumb discharge resistor.