For your Mauser...
I'd suggest a set of Burris Signature rings.
Go with bases that accommodate "Universal" rings, as in front dovetail and read adjustable windage. (Medium is the equivalent of low on other ring makes)
http://www.burrisoptics.com/sigrings1.html
Set rings in place.
Because of the spherical bearings, when you remove the ring caps and lay the scope in place, the bearings will automatically adjust for misalignment. Do
NOT add anything to surfaces, keep all surfaces on both bearings and scope absolutely clean and dry!!!
Tighten the cap screws gingerly (meaning, without gorilla torquing), alternating side to side until reasonably snug. There should be an equal bit of gap on each side between the cap and ring base, and the cap should be square to its counterpart.
Now, when you bore sight, or start out sight in at the range...
Your first adjustment should be for windage.
Loosen front ring cap screws first. Then adjust for windage at rear accordingly. Then re-snug the front ring cap screws before firing. Repeat as necessary.
Loosening the front ring cap screws allows the scope to pivot to compensate for windage adjustment at the rear.
This is critical as it prevents torquing the scope tube...or, God forbid, even actually permanently bending it! (No other make of rings provide for this. It is virtually impossible to adjust rear windage in other makes without torquing the scope tube, which certainly can cause serious consequences regarding accuracy.)
Unless the drilling for bases on the rifle are wildly out of line...not likely...Burris Signature rings will automatically compensate, and do so without any need for re-drilling and/or re-machining, nor for lapping the rings...not to mention, they won't mess up your expensive scope with ghastly ring marks.
And do so without costing any more than a decent set of rings and bases.
I had an 1917 Enfield, sporterized by BSA, that caused a bent scope tube because of poor machining at the rear base surface, causing misalignment. Had Burris Signature rings been available at the time, I could easily have solved the problem in this manner, and without the services of a gunsmith.
You could also use Weaver style bases, however this would not provide the means to adjust the rear rings to help compensate for misalignment, which thus might have to be made up with internal adjustments in the scope. Depending on the severity of the misalignment, the scope conceivably could run out of adjustment before you manage to get it zeroed.
I'd certainly give this a try before spending a lot of dough on correcting the rifle itself. Almost certain this should solve the problem.
