I myself don't have such a good experience with these kind of stays but it doesn't mean yours will be bad. I guess you should go there but try to ask for a shorter stay (a week or less) just to see how it goes. Let's face it, it definitely won't solve your problems or make them better. Your decision also depends on whether you trust your therapist and the main reason why you consider ctb.
I'm assuming you're just out of high school, if nothing else at least you'd get to experience living with others which might be good to get you used to living in dorms or your own appartement. Maybe you even befriend someone in a similar situation.
In short, I can't tell you whether it will be good or bad but you'll never know unless you try.
Whatever you decide, I wish you good luck❤