To Birgir's point, I always modify the PS for the intended use. For a 350v supply you can remove half the capacitors and the associated resistors.
I like the performance of the design though it has a very high drop-out voltage.
You can certainly get away with the 300V 100VA transformer, but you need to tweak the zener string. I find you need at least 20V higher on the pre-regulated voltage over the output voltage plus you want another 20 or so volts over that coming from the transformer. Problem is that the zener string moves 10 - 15 or so volts from cold to warm-up.
I use the Antek 350V 100VA transformer on my KGST, but I run the output at 400V. The power is not an issue. Runs silent.