Xena, you are close, 80 year old technology.
I did incorporate potentiometers in parallel to the two. I also used one to both resistors with the center to pin 7 in order to try balancing both sides in one shot.
Even though potted I was able to check all components from various taps. Some the resistors have wandered off. Of all the units I played with only one had a bad capacitor.
I will try the resistor from pin 3 and look into the bipolar with zener, unless anyone has a suggestion where to start with a circuit, or for me to read up on it.
So, I've drawn up a quick sketch of something that you may be able to develop: principally sound but it may need tinkering to work.
I'm not saying the use of a MOSFET isn't possible it could work OK, but its trying to work in follower mode, series diode as suggested by Circlotron is a first option. This is just something else to try.
PNP transistor to replace the contacts, that being protected by the Zener snubber, the transistor is WHY? But of course there will be an Ic consideration and the induced voltage should be limited to around ×10 of the supply, so choose the transistor and Zener appropriately, with the transistor Vce higher than the Zener voltage of course. The drive to the transistor must also be able to swing near enough to the + supply to switch it off.
I built an ignition unit for a friend who has an old Fordson gas/kerosene tractor that used a similar arrangement. the transistor was a TIP 3055 (6volt + ground, so circuit inverted, and a Kettering ignition coil as load, it survived for over two years with a 56 Volt 1W Zener for protection)
It may also be possible to just use a series capacitor/resistor combo across the primary but without the actual coil in front of me the component values would be pure guesstimate.
I'd be inclined to start with the transistor drive "low" (on time) short, and increase from there watching for activity from the tube heater.
Normally setting this kind of circuit up is a bit tricky if you don't know what HVDC voltage you're aiming for, though if all else fails the heater power of the tube can be determined using a lamp/LDR combination.
Regards,
Xena.