Honestly, I think you're pretty well screwed in this case with the mounting holes being off-center. Nothing you can do is going to allow you to zero at one distance and not be off left or right at another distance.


Not sure if the rings linked to below will work with the Leupold base, but if they will they'd probably be your best option along with elongating that middle screw hole. With +/- offset inserts installed with the seams at 12 and 6 o'clock rather than 3 and 9 o'clock in both rings you could effectively move the scope closer to being directly over the centerline of the bore. Probably not enough to make it perfect, but should make the horizontal difference at 200 yards a fair bit less.

https://www.midwayusa.com/product/1548332714

You might be able to accomplish the same thing with the Weaver bases you mentioned and the Burris Signature Zee rings + inserts installed as noted above.