"45-50 MOA right of center"
"I had to OVER three targets"
which is it? 50 MOA high or 50 MOA right?
Sounds like to me you're making the opposite correction with the inserts.
If you're using Burris Signature rings, I'm assuming that the base is a Leupold double-dovetail base so there's no windage adjust on it. First thing - make sure that your rings are aligned perfectly and that you aren't flexing the scope tube. Next, make sure that you aren't over-compensating with the offset ring inserts or making the opposite correction (remember that you're chasing the Point of Impact with the crosshairs using the inserts to move the tube within the rings - i.e. If your groups are 40" high with both the "0" inserts installed in the front and rear rings, you'd want to make sure that the "+20" insert is on the BOTTOM of the FRONT ring and the "-20" is on the TOP of the front ring, and vice-versa in the REAR ring "+20" on top, "-20" on bottom to give 40 MOA of total vertical adjustment). Always use the ring inserts in corresponding pairs - ("+5" opposite the "-5" in the same ring,"+10" opposite the "-10", etc.)
Don't despair - I have made the opposite correction more than once!
If this ISN't the problem, let me know.