Went ahead and created a video:
https://www.youtube.com/watch?v=Nyrr8iUFRzE
I also tried new tubes for everything except the 35Z5. I don't have any spares of that for now, but it also doesn't seem like the problem is in the power supply.
I don't believe I have an RF generator, but I do have a digital signal generator I could set up. I haven't used it before but it looks like it might work for running some tests.