This is certainly a difficult issue.

If you are sure you have exhausted all the resources of CPS, you might want
to work through your daughter's doctor.  Make an appointment and discuss this problem with him/her. Your doctor may know of other resources in the community.
However, if CPS did not deem your child eligible for services, private services may be expensive.

However, do be sure you have checked every channel at CPS.  Go up the ladder to supervisory staff if you have not done so already.  Even if there is more to try at CPS, I suggest an appointment with the doctor could be helpful. Your doctor may prescribe medication or recommend a child psychiatrist who could prescribe medication for your daughter's bipolar illness.
There are good medications that are effective, and may go a long way to solving this problem.

Besides medication, if you cannot get your child into a facility, you may want to ask your doctor for a referral to a behavioral therapist. Your daughter's abusive behavior might be addressed with some quality behavior therapy.

I wish you good luck with a tough situation.

Bette J. Freedson, LICSW, LCSW, CGP
Clinical Social Worker
JustAsk Expert
http://www.singlemomsos.com/index.html