[QUOTE=BlazingPedals;18336283]Riding a recumbent TRIKE would solve the falling problem. You could still fall from a recumbent bike, although you wouldn't be falling from as high up (depending on which recumbent bike you're talking about.) Definitely less shoulder strain and range-of-motion required, though; I ride mine with my elbows at my sides.[/QUOTE
Without a doubt a trike would work great for you. That is a tadpole trike. Your arms pretty much fall to your side, and there of course is no weight on your hands, arm, or shoulder.