K31 scope rings

Just got my clamp on mount today and went to put rings on it. Unfortunately, I didn't realize that the mount was 3/8" instead of the standard 1" size, which I had rings for. I was wondering if anyone had experience with rings that would fit this size mount and can hold up to the recoil generated by the 7.5 swiss round, since many rings that fit this size mount seem to be for .22 rifles.