Do you have any idea how much this center costs? I'd strongly suggest you're asking the insurance company to pay out more in a month, than your parents have paid in, in the past TEN YEARS.
The way you handle the issue, is to go to some 12 step programs FOR FREE, instead of insisting that someone else pay for someone else handling your problem. You take RESPONSIBILITY for it.
12 step programs are MORE EFFECTIVE than any center, Christian based or not. So, why do you want to use a less effective, more expensive (MUCH more expensive) program, while insisting that SOMEONE ELSE pays for it?
The person who can handle this, IS YOU. At some point, you have to man up and take responsibility for your choices and your options - which clearly you aren't doing now. You want the privleges, but not the RESPONSIBILITIES. Life doesn't work that way.
If you're being led to this facility, God will pave the way. If He doesn't pave the way, then you're not being led - it's your own desires we're talking about. Pretty simple.