Using a computer mouse left handed for ten years has probably helped me a fair bit. (You would be amazed how useful it is, for various work, to use a mouse in the left hand and have access to the number pad of a keyboard with the right hand).Having an elbow issue is likely to alter the way you move the razor, so I suspect you will have to re-train your right hand. I know mine worked differently after I split the ulna as a kid by landing on the point of my elbow, took quite a long time to get it to fully rotate and flex.
I need to learn to use my left on the left side of my face, I'm having trouble getting all the stubble over there with my right hand. Shouldn't be too hard as I'm not strongly right hand dominant, but I'll probably get some rough shaves until I figure it out.