Hi Neal,
So no rem jet and no antihalation coatings on the back. Hmm, is there any coating on the back? If not than that means that the spots are a deposit, and that means they aught to be able to be removed(!).
BTW, I only use distilled for my developer and TF-4.
I'm using the developer one-shot, and after one hour of semi-stand development the XTOL (1:2) looked spent. Could exhausted, and under-agitated, developer cause this kind cause staining or spots? As I said above this does not seem to affect the emulsion, only the non-emulsion, back side, of the film.