Ready, my 2 sons are at SPS. They only applied to HADES schools (because we dind’t know any better, tbh). One of them was accepted to 8 top boarding schools and the other one was only accepted to SPS. The one that was only accepted to SPS also built a computer himself in elementary school, 99% on SSAT, etc. They are from KY, which is underrepresented in BS (I guess that’s their hook, so to speak). They are also both financial Aid.
Boarding school applications are alot of work - and much more complex than most college applications. I suggest you start here: https://www.gatewaytoprepschools.com/. And also learn about as many BSs as you can - through websites such as boardingschoolreview.com. I also suggest you work with someone who has experience interviewing for admissions - perhaps at a local college. I think how you answer questions is really important, and perhaps your mom and someone helping prep you for the interviews can help you figure out how to share (or whether to share) your experiences with being asked to leave a school. I work at a college and a couple of professors helped my kids prep for the interviews - which was really good for them.
Choate has a really cool science and environmental program, and SPS has a really cool engineering program. Alot of the boarding schools teach using the harkness tables. Most BS classes are less than 15 kids in each class.
We ended up deciding that they would only apply to schools that were through gateway because the English and Math teachers (and others) only upload once and their recommendation goes to all of the schools.
Also, almost all of the schools will waive your application fee and you put the code into gateway. You just have to reach out to admissions and ask. A couple of schools will also give you a code for the SSAT test (I believe Deerfield).
Hope all of that is helpful. Best of luck.