Sorry didn't re-read the topic so may have missed the information if it was there.
As an attempt to solve your hot Zener troubles, if oven consumption is closer to 5W than 10 you could try running your oven transformer from a single primary rather than have them paralleled it will increase the internal resistance. (I doubt it's much of a problem, that was almost the case for 100V wiring with the original transformer.)
That and maybe a couple of 15V zeners may feel comfortable enough.