Your noise issue is definately from PSU, it's really hard to lower (over) 200V to 60V.
Two guys had problems with lowering t.bone PSU to 120V for simple SCT800 mod. Microphones were noisy as hell.
Problem was only with voltage dropping.
I did my twelve with voltage doubler and it's quiet, so definately it isn't circuit problem.
You could try to lower voltage around 180V, then make one filter stage and divider to get 60V and 120V.
This way you can feed plate and backlapte polarisation as also get switchable multipattern from PSU.
High wattage resistors recommended.
For that type of multipattern switching, you could try to feed diaphragm backside directly without filtering, same as with polarisation voltage. I didn't tested that, but it may work pretty good. Then 470pF-680pF between both diaphragms.
if you will get nise trouble then two extra resistors (1G and 10M for example) and one 10nF-22nF.