I haven't tried any of the suggestions below, but have read of people having success with them.
1) Burris Signature Zee Rings with the inserts to offset for height.
2) Shimming with 1) aluminum can material, 2) aluminum tape used for duct work, 3) brass sheets, 4) part of a blade from a gap gauge. Of course the tricky part is measuring how much height you'll need and/or how much of each of these materials will get you there.
I actually have a project on the back burner that involves shimming the rear of a base. The Burris rings are the easiest, albeit more costly solution, assuming you already have rings. I'd avoid using electrical tape, or soda bottle plastic, or any material whose thickness is jeopardized and uneven once compressed.
Good luck!