What can I do about an abusive child with psychological issues?

My 14 year old daughter is abusive towards me. I know this is really not what people normally hear. There is so much information about what to do when a child is abused, but I'm in a situation where I feel completely stuck. She attacks me physically, verbally, and mentally almost daily. She does this to my boyfriend and her two younger sisters as well but not quite as often. We've called the police somewhere between 50-100 times within the last 2 years, she's been arrested once but that went nowhere. She's been baker-acted around 30 times, she's in a partial admittance at a hospital (where she is there during the day and at home at night) and it's a bunch of red tape and crap to get her into any kind of residential treatment. I've had DCF out here a good 100-200 times and always the fingers are pointed on me. Not only is nobody really doing anything, but they keep pointing fingers at me. It MUST be my fault because children don't abuse their parents. If I ask them to take her they say if they do they'll charge me with neglect and take the other two as well. I feel there is NOTHING I can do and I am forced to just take it. She hits me, pins me down, calls me names, tells me I'm stupid, worthless, and bad and I can't do anything to stop it. Can anyone help me? She has has VARIOUS counselors, she is in partial care at an institution.. which is more serious counseling.. we're in Florida.. she isn't having or doing drugs or hanging out with bad crowds.. and she does have discipline and structure but that's part of the problem because she doesn't want it.. she has been diagnosed with borderline personality disorder and bipolar and with traits of antisocial disorder - but she is too young for an actual antisocial diagnosis - she has had a violent streak since she was a toddler but since around hitting puberty it has gotten completely out of control.. the cops say because she has mental problems they can't arrest her because a judge will throw it out.. and the mental health industry says medicine won't work it's behavioral and in a behavioral institute she manipulates the counselors to her wills.. she is pretty strongly medicated but it doesn't really help and they wont adjust it.. they say it won't help because it's behavioral.. she's had several different counselors and psychiatrist.. and nothing..