I am also left eye dominant but shoot right handed. I would NOT recomend shooting right handed and aiming with your left eye though. My freinds dad is blind in his right eye and use to do that. I had the same bow for a good thirty years and finally got a new one left handed. It could just be the bow but his accuracy was greatly increased and he said it didnt take long to get used to. Closing my left eye works well for me. Im not real accurate but im sure there are many other factors to my poor accuracy.

PS Welcome to the forum