You could look into some Burris Signature rings with the offset inserts. I would use those before doing the shim thing in a heartbeat. I had to go to those on one of my CF rifles due to the adjustment range on the scope and it works perfectly. The other advantage to the Signature series is it will not mar or torque the scope tube even if the rings are not quite alligned perfectly. They make the Signature series for Weaver style, STD Leupold style, duel dovetail styleand 22 style bases so you should be able to find something that will work. Good luck.