I have the same thing as you. Left eye dominant and right handed. I shot a gun right handed until i was going to start deer hunting, and it took some getting used to. Now i shoot my bow and guns left handed and the only problem i have is that finding a left handed gun or bow is usually pretty tough to do. Thats why i bought a Mathews. I would say definatly shoot left handed. My dad and older brother are the same way. My dad nows shoots a bow left handed, and gun right handed. He wishes he would have shot southpaw all along.