It is a difficult subject and your search will be hard and long.
I will try to explain without trying to insult you. English is not my native language so please excuse me.
First of all most boarding schools are businesses. They want students which function without problems in their environment. Students who needs extra care and nursing means extra expenses and then they can choose another. There are plenty of parents outthere, who find children generally disruptive outside family hollidays where they can show their stepford children off.
I am afraid that 99% of normal boarding school will see you as a too expensive kid to warehouse.
Therapeutic boarding schools are also businesses and many of them makes a business of finding problems they can solve. If you dont have all the problems, then they can place you in marathon group therapy sessions for +3 hours and believe me: At some point you will adapt the problems from other student and make them yours. It is called psycodrama and while it can be rather entertaining for the people watching it, it is not healthy for you. You are terrified of those places and frankly you should be. They will not be good for you.
There are other kind of boarding schools. Some are faith based. Unfortunately they read the bible as the man in the department below. They use texts as hard as a Donald Duck magazine as curriculum and people in college will laugh of you if you turn up with an exam paper from one of these places. Check if they use the ACE curriculum and stay away from them if they do. Another downside is the frekvent use of the paddle. The high score seems to be a program in Indiana where the boss thinks that is OK to use corporal punishment on babies.
I dont know that to recommend to you. We have a database with a lot of programs you should stay away from
here.
How is your home depressing and are your parents on the look too?
In the later is the case, I will recommend that you ask some friend to protect you by holding on to some emancipation papers for you.
How are your language skills? Sometime a foreign boarding school could be the answer and in Europe we have a youth culture, which leaves you room for development. Even our continuation schools for troubled teens in Denmark offers weekends off campus within two weeks.