Charter does indeed make the "Southpaw" revolver, as an almost mirror image of its regular line. It's cylinder opens to the right and the cylinder latch is on the right side of it's frame. They're great fun to shoot and even more fun to hand to a "Northpaw" and watch them try to operate it.
I'm a little baffled as to why you're having trouble shooting a revolver as a lefty. I've been doing it for decades, and never noticed any particular problem. Southpaws tend to be pretty ingenious at finding ways around the backwards products the world keeps throwing at us.
Mark Lane to William Buckley: "Have you ever referred to Jessee Jackson as an ignoramus?"
Buckley: "If I didn't, I should have"