I've read a lot of discussions/debates on this. Some say go with your dominant eye regardless of your dominant hand, some don't. I've heard of several folks having problems trying to shoot "cross dominant".

I think shooting with your dominant hand and eye is worth a serious try. It probably will take a little getting used to, but it can be done. I know a guy who shoots both right and left handed--depends on which side the arthritus is bothering the worst on a given day. He's a decent shot either way--but he practices a LOT.