DC after the reg is already smooth. (that's what the reg does, ;-)) those 10Kuf help knock the ripple down before the reg so it doesn't work as hard and produce as much heat. Again,. I suspect it is tied into the supplemental V circuit used to boost the cathode V,. Anywho, sounds like you got it sorted and working.
I try all kinds of different configs, including messing with and adjusting the feedback.. can't help myself. Lundhal, Jensen, some hammond are what I've tried, some with air gaps, and some without (purpose built for parafeed). 4:1 and 8:1 ratios are what you need to look for. I prefer the 8:1 as the circuit already has alot of gain. Keep in mind that these are configured as parafeed (no DC current) so you don't have to worry about any dc current spec on the tranx. Unfortunately don't have any of the really nice trans like hashimoto, tango, etc.. laying around to try. Honestly though i doubt I would like them enough more to justify the cost but ya never really know till ya try,. plus most of those are all big units with air gaps which are not needed.. Anywho,. feel free to PM if you have any specific questions about the circuit, I'll try to help the best I can. Don't want to continue to junk up this thread with repair related posts.. Best,