Im left handed with a right eye dominant. I presently shoot left handed. Everything works as long as I close my right eye. The sight pins also have to be projected out well right of the arrow to sight in. I did shoot right handed for a few years but had to switch back due to ghost vision in my right eye.
I do seem to shoot better and more consistant left handed now that im used to it again.
I would recommend suiting the shooting hand with the dominant eye. I just know from my experience that it would have made things alot easier if I could have started that way.