Tubes,
First off, Happy New Year!
I guess what you have in mind will work. But here's my take. I try to avoid running AC on the umbilical cord as much as possible. In that way, shielding will not be necessary. You only need to have 4 wires, all carrying DC, if the PT, rectifier tube for HV, and rectifier diodes for H are all located in another chassis. The fourth wire is the GND.
Best regards,
Abe