I've always shot left handed, I'm left-eye dominant, but right handed for everything else, golf, fly fishing, archery, pistol shooting, etc. Might explain why I'm such a bad bow and pistol shot...
Anyways, I've always shot old doubles fine. I shoot a later (1946) L.C. Smith, and from what I can tell, it has little to no cast. I've never had trouble with the opening lever, I actually think it is easier left handed. The only "lefty" gun I own is my grandfather's Ithaca 37 pump, with left handed safety, since my father and I are both leftys and we had the safety reversed years ago. Personally, I think that fit is more important than being a purpose built left handed gun.