Thanks! I actually already found a working used transformer on Ebay that was almost exactly what I needed. Except one of the windings that needed to be 5V was 6.3, but it was just for a rectifier so it was easy to replace the type 80 that it asked for in the schematic with a 6AU4 I had.
The transformer also has another winding of probably over 1kV, and I fried my cheap meter trying to measure it

. It isn't used here since the 902 CRT operates at a maximum of only 600V. This transformer was almost certainly used in a scope in the past.