I'm wondering where folks find these rings that come in mis-matched sets, and come in varying heights of a few thousandths?
It just don't work that way!
Scope rings should come in
matched sets of two.
They are, or should be, both
exactly the same height.
Rings are only made in Low, Med, and High heights, and there is about 2/10" difference between each one.
There is no way to use one of each height on the same rifle without bending the scope tube.
It sounds to me like this problem is being caused by the wrong mount.
Burris lists one mount for all Savage Model 16 rifles, including both the right and left hand models.
Leupold lists four separate & different mounts for both a Model 16 "round receiver" action, and another for the Model 16 receiver, in both left & right-hand types.
This leads me to think there are two different Savage Model 16 receiver contours out there.
If the mount in question fits the rifle receiver contour correctly, it should work correctly. If it doesn't, you will have to shim up the front end between the mount and the receiver to bring the POI down.
Bedding would have to really be way out of whack, with tremendous forend pressure springing the barrel upward to cause it to shoot a foot high at 25 yards with all the scope adjustment used up.
I would rule that out right off the bat as not plausible!
rcmodel