Cool - I'll be glad to help, this should be an exciting project.
Let's see - you have the PGP8.1 power transformer, producing about 500vDC at the 2A3 plate. The UF4007 diodes were right on the edge at 1000 volts rated, so the 1200v Schottky diodes would be an excellent idea. Unless the power supply was modified, it never had a RRSF - and the Schottkys eliminate the need for one, so the identical power supply topology should work fine. This will not affect the hum, though the Schottky diodes might eliminate some buzz.
The original filter was CLC, 100uF - 10H - 100uF. That's plenty of filtering. However, as DocB has mentioned in the other thread, it would be prudent to use caps rated for more voltage than the original 450v. That's going to be your biggest difficulty, I think - hardly anyone makes 500v or 600v electrolytic caps, and they are low value - 40uF at most. And film caps are available but huge, if you stick with the original chassis, motor runs, and the like. Best reliable bet is probably series pairs of caps, 220uF rated 250 or (preferably) 350v, and with bleeders to balance the voltage drop. That's what we have in the Paramount. Perhaps a small PC board, mounted above the PGP8, could hold the Schottkys and the caps?
The other mods are pretty straightforward, but probably belong in another post for clarity.