The way to get good with instinctive shooting(actually any shooting) is to shoot and shoot a lot. Concentrate on each shot, concentrate on every aspect of your form, concentrate on your release and shoot, shoot, shoot! I don't think being left eye dominant is that critical for a right handed instinctive shooter. I know a few folks that shoot both right and left handed. For a hunter that is the best situation to be in. I think your best bet would be to shoot both left and right handed bows and see what works best for you.
I don't know where you live but the archery shoot circuit is fixing to open up for the year and at most shoots are venders that sell new and used bows. Try as many as you can to see what works best for you.
Another option is to go but a $5 board from Home Depot and come back and we will help you build a bow you can shoot either right or left hand.