I keep seeing people talking about having these problems and they make me scratch my head. I've worked with 6 different Savages, from an older "flat-back", to $400 Walmart package guns to a brand new LRP, at this point and have yet to need more than 3 MOA or so of adjustment on the scope after mounting. This is using 5 different brands and styles of bases, 7 different styles and brands of rings and 8 different scopes. 4 of them have and 2 currently wear Burris Signature rings of some flavor and none have needed offset inserts.

Make sure that the bases are straight on the action and true to each other. Remove the scope and rings and loosen the screws for the bases. Lay a steel straight edge along the side of the bases and push them over to one side with the straight edge. This makes sure that they are true to the action and each other. Tighten the screws for the bases. Install the bottom half of each ring making sure that the cross bolt is pushed all the way forward in the slot as you tighten the screw. Install the scope using the "0" inserts and set it to the center of its adjustment range and see where that leaves you. If you're still way off, remove everything and lay a straight edge down the mounting screw holes on the top of the action and see if they're grossly misaligned.

If it turns out that they are, the best solution that I have is a set of the "Leupold" (style, not necessarily brand) bases combined with the Burris Signature rings. The rings allow you to actually use the windage adjustment built into the bases without binding up and potentially ruining the scope. Adjust the rear base to get your boresight close with the rings just a bit loose. Tighten everything down and leave it.