Why not try the higher voltage zener chain right after C2 instead of way down the line towards the load ?
You can always bleed off a little more current with a resistor down the line to achieve a particular voltage at the anode if thats what you want ,it could also serve as a path for the caps to discharge through after powerdown . I see no reason not to increase the value of caps C2 on to maybe 220 or 470 uf , but no need to increase C1 as it could make the peak ac current drawn from the transformer worse , if you want to try and reduce peak current and the chance of saturation you might even reduce C1 to good effect ,although resulting DC voltage will drop a bit ,so the zener/resistors might need to be adjusted .
I like the fact that it takes minutes for large caps (470uf)to charge through kohm resistors , with a zener early on in the chain that ramp up is likely to be even slower , it takes a good 20-30 minutes for a tube mic to stabilise in temperature terms (components and casework) , I would'nt use it to record sound until its reached that point in any case , I dont mind if the HT builds over the same time frame as it takes for the mic to reach operating temperature . PSUD II allows nice simuluations of tube type ht supplies and you can show expected ramp up times . Ive found the results to be in agreement with subsequent real circuit builds .
I have one power supply I use for preamps , it takes at least 3 minutes for the HT voltage to ramp up on load , it includes an EZ81 , signal tube heaters have have a good 30 second lead time before the ht even gets above 20 volts dc and it just rises gently until it reaches its maximum a few minutes later . That supplies 30ma or so HT current.
The PSUD II software can be found on way back machine , under duncans amps , I downloaded a version dating back to 2018 .