The local "bufallo" hospitals do pretty good patch up work and if they are the closest to your house, is the best bet for emergency, I think. They do tend to be understaffed but not poorly trained.
I've found them to be good about sending me on to another hospital or specialist if they don't have the ability to diagnose or treat a problem.
At least in this area, there is an ambulance waiting to take you to a better equipped hospital if the case calls for it.