I could write so much on this topic. I'm both a mental health provider (although not for children) and a parent with a special needs child.I'm only able to use my insurance OON for most of my child's providers. And don't get me started on the tutors -- that's another small fortune!
At the same time I appreciate why a lot of doctors don't take insurance. They pay shockingly little and demand a lot of information from providers. It simply isn't worth it to many therapists to be on insurance panels getting $80/hr when they can charge more than double that and maintain control over their caseload. As a parent paying this, however, I sympathize with you all.