I think I found diagrams!
I Googled the models that were listed in the PhotoFact manual that Chris Simpson mentioned. I figured they must use the same chassis as my tv. I found a PDF file with a manual for a bunch of different tvs:
http://www.americanradiohistory.com/...an-1952-TV.pdf
The diagram for my tv is on pages 107-110. I'm still looking at it right now to try to make sense of it. I really hope the problem is just the filter capacitors. I hope I'm not getting in over my head!
Nick,
I'm going to post some pictures soon. I just finished cleaning the chassis and cabinet yesterday - it was filthy with probably decades of dust! It's looking a lot better now, and everything seems to be in pretty good condition.
I honestly don't know much about how tvs were wired back then. This tv does specifically say AC 60hz for the power though. Old radios on the other hand have the tubes connected in series, so they didn't need a transformer.