I see this in my job quit a bit. I am not 100% sure if it translates into bow hunting as it does weapons. I teach people with your issue to shoot rifles with the dominance of their eye. That is what I have been taught and while it can be awkward swapping at first in the end you will be more accurate. The reason people can shoot pistol right handed but are left eye dominate is because you can simply move the pistol over in front of your dominate eye. I am not a bow expert by any means but I would bet that if you completely swapped to a left handed bow and go use to it you would be a better shot at all distances.