Given you have expressed a specific interest in applied math (and seem status aware), I pulled the applied math rankings below. While admittedly “ranking” isn’t a pure science or for that matter worth much in isolation it is worth noting the consistency of several schools who appear to have strong reputations across multiple surveys.
I am partial to Brown’s APMA concentration because of the open curriculums flexibility to leverage the math skills into other co concentrations like Econ and entrepreneurship.
That said all of the schools you are considering (and numerous others with less cache) will provide a great experience.
As others have mentioned you are a great candidate.
My cautionary comment would be to consider that with schools with single digit acceptance rate students often look at their “odds” as solid if they are in the top 5% of their graduating class. The practical reality is to get accepted you need to be at the top 5% of a pool of people that were all at the top of their local graduating classes.
Best of luck and you have a lot to be proud of regardless of where you land.
Niche Applied Math
1 MIT
2 Harvard
3 Stanford
4 Yale
5 Rice
6 Brown
7 Columbia
8 Wash U
9 Northwestern
10 USC