Most area community hospitals are required to treat any patient that comes to them, regardless of insurance coverage. True, you will generate a bill, but many of these facilities offer discounts to those who are uninsured or under insured. Ask about speaking to someone from the finance department for charitable assistance.
I had my shoulder separated while in the Army They put my arm in a sling, strapped to my chest with an extra strap holding pressure from under my arm to over my shoulder. I only took it off to shower for two weeks, was back to normal in about 6 weeks