I'm sorry this happened. I can't believe all the hospitals would just dismiss you like that. You called around because you didn't feel safe, right? You thought you may do something to harm yourself? I don't understand why they would not offer any other advice besides sending someone to "check in" on you. They should have at least advised you to go to the ER because they will hold you and keep an eye on you until a bed is available.
Hope you're feeling better.