CompGeek, I find shotgunning and archery two, totally different animals. Maybe I'm just too old, but I tried shooting a shotgun from the left side and it was a total disaster. Shooting a bow left handed, however, seemed a really easy change even though I started out right-handed. I think the difference is that a shotgun HAS to be swinging and I can swing much more smoothly right handed.
I shoot bows right and left, but have to do as you do with my eyes or the left eye takes over. Left handed, I keep both eyes wide open and find my depth perception and target "brightness" to be better.
Learning to shoot from both sides may not be a bad idea in case anything were ever happen to a hand or eye. It will also keep your muscles better balanced. Of course you will need two bows to do that unless you get a dual shelf bow, and that won't be a take-down.
Being able to swap limbs out as you progress to a heavier draw is definitely a plus. I would go so far as to suggest keeping the lighter set for form work even after you work up to something heavier.
I think damascusdave had some good advice. I don't know how many people or clubs you will find nearby in ND, but you may find some folks on here who are close enough to help get you started.