I am right handed and left eyed, and normally shoot right handed. However about 20 years while taking a LE class the instructor challenged me to shoot the class left handed and I did. I still, when attending other instructors classes, regularly shoot the whole class left handed. I have every once in a while shoot small local matches left handed at least until I could get some side bets going. It is not as hard as it first seems, commit to it and do it. You already know how to shoot, you just need to slow down a little until it becomes more comfortable.