For the last few years I have been trying to cope with loss of vision in my right eye. I have tried to learn to shoot left handed, but I have also attempted to modify one of my rifles to allow shooting off the right shoulder, but aiming with the left eye.
Using my Griffin & Howe Springfield, I modified the top slide of the side mount using rings meant for the M1C sniper scope, offset to allow for clip loading.
Using both techniques, I accounted for nine deer this season, six shooting left handed and three with the modified Springfield. It is sighted in at 100 yards, and the horizontal deviation at 150 yards is insignificant on a target the size of a deer. This is how it looks:

There is enough clearance to allow for clip loading, if I should so desire.