I am rh but left eye dominant. However for me holding a gun or bow feels unnatural rh and always has, so I shoot lh for both. I agree your probably better to train yourself to shoot lh as it will improve your accuracy and success...price to pay for being special though in the extra cost and limited selection of lh equipment (if you decide to buy lhed firearms). Before I went out and bought lhed guns I would practice and gives yourself time to decide what indeed proves to be the best.

Best of luck