Phil;
Lots of shooting practice will develop muscle memory, that will make left hand shooting feel more natural.
My gun club, had several targets on their trail walk years ago, that had to be shot opposite hand. After much practice I became so comfortable shooting left handed, that on a deer hunt, shooting a modern rifle, I took a snap shot at a deer at close range, and after we field dressed it, my hunting partner(who is a lefty) asked if I knew I'd shot it left handed.I had no idea I'd made that shot left handed.
Hungry Horse