If you are fortunate enough to be one of the very small percentage of applicants who get accepted to very tippy top (prestigious) colleges, you are indeed fortunate. And even moreso if you can afford to attend.
If you are an international applicant (not a U.S. citizen or green card holder), the %age of admission is even lower. In addition as an international applicant, your level of financial need will be considered at all but five of the colleges that meet full need.
Going to a particular high school is never a guarantee that you will be a successful applicant at any college and particularly the most selective.
While you are considering your high school hunt, you might also start thinking about casting a much wider net than just applying to only the most prestigious colleges. What you are able to accomplish in college and afterward is largely what YOU do with your education.