I'm a right handed shooter, so I can't identify with that, but my sweetie and I three lever rifles between us, A Marlin in .357, a pre-safety Winchester 94, in .30-30, and an 1895 Marlin classic in .45-70. As far as I can tell, you should be able to use a lever rifle with no problem. If your buddies have a problem from "traditional" grounds, there is not too much that is more traditional than a model 94 Winchester.
Brie