Some suggestions:

Turn the rings around, switch the front with the back, swithc the top strap of each ring with the other and try turning just the top straps around. You can also try moving the mounts forward and back on your gun (if dovetail) so long as you have proper eye relief.

Depending on how your mounts where made, who made them, and what process was used to fininsh them...you may have mounts that have a sort of "front" and "back". It may not be obvious to the eye, but when you put a scope in there, it's painfully obvious.

One other suggestion, don't shim your scope...set it to your optical zero (equal clicks up and down, left and right) and fire at a test target at your point blank range. Then take it to a good gunsmith and have him or her "droop" the mounts properly. They will remove a little of the inner ring to adjust for the difference in optical center and point blank. You will then have PLENTY of room for adjustment for various distances. Now if you ask your gunsmith to droop your mounts and (s)he doesn't know what you are talking about...that's the WRONG person to have do it. You need a professional...more than likely it will be a long range shooters gunsmith that will do this right.

Note: more than likely those mounts will ONLY work well on that gun once drooped. I typically buy a gun, test out the feel of a bunch of different scopes...then mount the one I like "for life". SO it's not that big of a deal. You may be different...so act accordingly.