Hilarious coincidence - it had not occurred to me to isolate the pickup from the vol/tone circuit, but you AND a friend on another board BOTH recommended it within 30min of each other!
Of course I had to run home on my lunch break & try it. De-soldered the leads from the pickup & used alligator clamps to connect it directly to a known good cable.
Bah, same noise level as w/ the vol/tone circuit in place.
Of course, shorting the two sides of the coil = no output, dead silent.
Hmm,. . .will keep thinking on this. I have e-mails in to a couple folks who are well known pickup builders/winders & have MAJOR experience rebuilding/winding & repairing old pickups. Perhaps one of them can shed some light on what looks, increasingly, to be a slightly noisy pickup.
On the positive side, I buttoned it up & ran SC-1 -> '77 Opamp Muff -> Delay w/ modulation -> cranked Bassman & had my way with her for a few minutes. Now running late going back to lunch, but I feel better.
OH - and I'll be CERTAIN to keep updating this thread. I've been helped over the years by the experiences of others more times than I can count - nothing more frustrating than finding an old thread w/ the same exact problem you're trying to solve, reading down through the meat of it only to find that the OP never came back to document the solution!!!
p.s. - I had an e-mail in to R. Poss asking if his SC-1s were noisy (compared to other "standard" Fender single coil equipped guitars) & he answered that they were not.