I don’t do chances, but I just wanted to say “Welcome back.” I remember you from the prep school forums when you were applying to BS.
One of the many boarding school advantages is better college counseling. Your college counselor knows you a lot better than we do, and their feedback would be a bit more helpful, particularly for reaches, since you need to have a sense of how strong their rec for you will be vs others applying to the same schools. With that feedback, hopefully you can pare down your list because 22 is a bit of overkill and I do not think the counseling office will support 22.
If Purdue is your in-state public, you have a great option for your field with them.
Good luck.