First - thanks to all for trying to help, I appreciate it a great deal.
Clarification:
The ridge is indeed downward....as in: brass is thicker toward the rim.
The dies are RCBS 7x57 Rimmed dies, not regular 7x57.
I have determined this is happening during resizing, not in the chamber. I measured a loaded round, fired it and the dimension just ahead of the rim did not change at all. And the ring didn't appear.
I moved the die into an RCBS press instead and used shellholder. Tightened die right down and resized. The ring still appears, but not as prominant, and all the way round the case, not just one side. The brass will chamber.
I am surmising maybe this die is very tight around the bottom. Perhaps I should back the die out a little instead of tightening it....that will be next....