It is insane! Are you going through a government or county funded place? If so, three months is normal for a first appointment
Try the psych ER, if there is one. I'd try your mom too, she might know a way to help get you in faster without going to the psych ER. Although, going there isn't bad, you do get to talk to a pdoc. Don't worry about them keeping you there. Oh, and it wouldn't count as having been admitted to a p.hospital.
Jen