With it being this close to opening day might I recomend you use a crossbow for this season. I may get bashed for saying it but I don't think you have time to get ready to bowhunt with a bow this year. I'm not saying you don't have to practice with a xbow but you can get yourself ready much faster. Just saying.
With that out of the way, I have a buddy in the same boat so to speak. He shoots a shotgun/rifle left handed and a bow right handed. He just closes the dominate eye when aiming and shoot very well. Good luck whatever you choose.