Two thoughts:
Since Columbia College is on your list, you might want to check into the other traditional undergraduate college at Columbia University: Its Barnard College has recently made women in STEM their major initiative. It has its own admissions criteria and staff (so you can apply to both colleges), thus improving your odds of acceptance to CU. Students of CC and BC share the University’s facilities, faculty, courses, clubs, and even graduation and degrees - except for all-female first-year dorms (and some other Barnard-specific benefits).
Become familiar with “ED” (Early Decision) and, after visiting and investigating many colleges, try to find out if among all those you are certain that there is a clear winner that is affordable and you would want to attend no matter what other attractive financial offers you might get.
For some top colleges, the “regular decision” acceptance rates could be <5% (for equally outstanding candidates), while the “early decision” rates could be many times better.