Alright! It's been a while, but some updates: I have a running bike! Many of the things that I was told were fixed by the original tech were not. Valves were off, PO had tried to force the top of the engine off with a screwdriver, causing it to leak oil, the right side carb had a jet out of it's hole and just rolling around, while the other two were in the wrong places, etc. I'm sure I'm forgetting something. Anyways, we fixed the valve clearance, sealed the oil seeping, got everything squared away carb-wise. Added Uni-filters, which seem to run nicely.
My final issue was that several...unique...wiring methods were used by the previous tech, so we got those sorted out and a new rectifier should solve my battery charging issue. It runs fine but only for about 30 miles or so, until the battery wears down.
Took it for a brief test ride yesterday, and it FLIES! Wayyyy faster than I ever thought it would be.