RE: Right hand left eye.....
I too am right-handed but left-eye dominant. I shoot rifles left-handed and wondered if I should get a left-handed bow but it didn't feel right. So I got a right-handed bow and had to force myself to look with my right eye but I got used to it quickly and now I don't notice it at all. It even feels like my eyes are evening out in the sense I don't have as much natural urge to close my right eye and look with my left. I'm not an expert but I would think you might want to pull a left and right bow and see how they feel. For me, I think it would have been more difficult and taken longer to adjust to holding the bow with my right arm and pulling with my left, although I'm sure it could be done if necessary. Good luck.