I went and looked in my plastic container that has various sets of rings to see if there was anything that would possibly work. Sadly it was a No-Go. The one thing I noted was a couple of pairs of old school 1" Weaver rings that had the curved lip on the top part of the ring. The upper portion of the ring is very thin in diameter. They always seemed to be the rings that I could get a scope as low as possible to the barrel. They were never pretty, but actually did a good job.