Thanks for the reply! I actually resolved this issue with a lot of help from around the world. I traced the original transformer that Gibson used on its signature models, the precursor to the Epi JC. This was a UTC 0-1. The company stopped producing them in the late 60s, and later signature models used a transformer that looks exactly like the JC. I imagine they just had another company use the specs but the housing is very different from the original. Getting lucky on eBay, I sourced the original transformer and after some trial and error introduced it into the circuit. So my JC now has a 60s era transformer driving the circuit, it’s one of a kind! It was an expensive fix..
AND after months of bothering them, epi gave me the info I needed and I sourced the modern part (AFTER I fixed the bass). So I have a spare now. Part was cheap. No regrets though, it was a fun adventure, and I learned a ton of info that only a handful of people in the world care about.