My D's are older than yours is now. When it all started, my youngest was just a bit older than your D. I didn't have anxiety attacks per se, but did they ever see me down? Of course.
Without boring you with all the details, when they saw I was down and did or said something that made me aware that they were really aware (wierd sentence, sorry), I would talk with them about my plan of action. This did not have anything to do with H or my M or anything like that. It was more what I was doing in the way of classes, finding a job, what we needed to do to take care of scheduling things, school, the house etc.
I am in the North Bay (more or less). I have Kaiser also, and lets just say I pay for my D's counseling out of pocket. They did have a group thing (as I recall) in Martinez. Other than that I don't know of any resources other than finding a good counselor. Cutting is a major depressive episode and there might be groups that are a good addition to counseling, it gets wierd there b/c of the working with one therapist thing.
Does she have any special intrests that might help to occupy her mind and build her confidence?