The caps are definitely oriented correctly. I've triple checked them against the pictures in the manual.
I found that somehow I'd not soldered one of the wires coming out of the output transformer. I'd forgotten to solder one of the wires out of the output transformers, from B3 to terminal 10 of the output transformer. I've resoldered it, but I think I might have shorted something since. I broke one of the probes on my cheap multimeter (I think it's a sign that I should really go and buy a decent DMM ) so I wasn't able to get all of the measurements, but they're pretty far off of what they should be.
(I measured 140V from the wall)
All measured from terminal 23:
1: 300V
2: 0
3: 0
4: 600
5: 295V -> 300V (Between)
6,19: 600V,600V
7,17: 0V,0V
8,18: 0V,0V
15,25: 0V,0V
A2,B2: 600V,604V (These fluctuated a bit, so they're approximate)
A5,B5: 522V,521V
Once I get back, I'll fill in the rest of the measurements (Along with resistance checks as well)
EDIT: The tubes no longer light up