I second, third or fourth the suggestion to apply via Questbridge.
Also, you may want to take a deep dive into woman’s college as a very supportive place for STEM majors.
Your Math SAT clearly shows you strong performance in math but I agree that you should consider how far in math courses you have gotten when applying to schools. I would not apply to CMU, the published SAT Math range for 25-75 is 800-800. You should also apply to schools where you don’t have to apply by majors (lots of those already recommended).
I think you would be an asset to any school you attend and will be successful where ever you land.