If you use a standard weaver style base and Burris Signature rings (the rings with the plastic inserts) you'll be good to go. Burris includes a set of off-set inserts that can be used to move the scope tube, in any direction, by .010" or more. They never bind scope tubes or scratch tubes either.
A very easy solution to your problem.
By the way - shimming a scope base normally causes more problems then it solves.
I have been having problems with my savage i have to take the scope all the way down to get the cross hairs to be on at 100 yards.. i cant get it shooting any higher because of this has anyone had this problem and is there a base that helps compensate for this.