Veiled,
Does your family qualify for the kids to be insured through the State of TX? If I am recalling correctly, TX is one of the states that has a child health insurance program (for some reason I think it's called CHIP). I don't know what is covered, but it might be worth a shot. I would hate to see you stop your therapy for her, but I completely understand the sacrifices we as mothers make for our children. Perhaps the CHIP program would cover therapy for your daughter and allow you to continue with it also.
There is very little reasoning with teenagers and almost nothing that you, the parent, tells them will be believed. They know it all and everything that goes wrong in their life is our fault. We've been through it with Warren's kids (actually still going through it, even though the oldest is 21) and I'm sure we'll go through it with mine. Our hope, though, is that once they are on the other side, with relationships (both failed and successful) under their belt and kids of their own, they'll see the reality of it.
Often they will talk to someone else, a complete stranger, and tell them all the little secrets that they would never DREAM of telling a parent. This is where counseling comes in handy.
Also, have you talked with the counselors at school? Often they are not equipped with the time or resources for therapy in school, but they will have resources to direct you in the right way. At our school we have a local mental health group come in and have sessions with some children - those children who really need it but whose parents won't or can't take them after school hours.
We're here for you, Veiled. Let us know what we can do for you.