The main disadvantage is the lack of circuit diagrams

So let's look at similar devices: they all used the same procedure. Overall, a separate discrete regulator for Vp was installed, consisting of 1 Transistor, 1 Z-diode and 2 resistors.
The E492 stabilizes at -23.6V; the A780 at -32.3V and the E800 at -29.9V.
The easiest way to solve your problem is to replace the Z-diode with one at a lower voltage. (With a little more experience in electronics, you can add an extra transistor and a variable resistor to fine tune the VFD voltage.)
So trace Vp (I hope they marked it) from the display board back to the power supply. I bet that's the board with the two electrolytic capacitors directly below it. Locate Tr and the Z diode.
Change e.g. 22V to 18V or 30V to 24V. I don't know the original value, so you have to figure that out.
(The series resistor should be able to handle the small additional load - correctly it should be recalculated).