c0llegegirl: as a student with an EFC 0, you simply can’t afford to say “I don’t want to attend this or that type of college”. It’s unfair but it’s the reality you have to live with.
You’re an excellent student so you have lots of choices.
Make sure to use your fee waivers for subject tests and apply widely (Nacac fee waiver, signed and stamped by guidance counselor and sent to non commonapp universities; gc should check “fee waiver” on the commonapp.)
Why Biomed/Bioengineering? It’s the only engineering degree that doesn’t allow you to find a job right away and requires a graduate degree.
Look into Smith (Engineering), Wellesley (Engineering certificate with Olin to allow for an Engineering Master’s), Bryn Mawr (4+1 program with UPenn) - those would have excellent financial aid. Agnes Scott has an excellent partnership with GeorgiaTech but I don’t know how it’d work out for an EFC0 student, if GTech would offer sufficient financial aid. Scripps is also very good for science with possible classes taken at HarveyMudd and excellent support for young women who want to work in the sciences.
WPI, RPI, Rose Hulman, Olin are all excellent engineering options that would be interested in a female applicant which should result in preferential packaging (ie., better financial aid). Don’t discount really famous schools such as Yale (which pledged to enroll more first gen students) or Colby.
At UMD, you may have a shot at a merit scholarship, but otherwise it’d be too expensive.
Pitt is unlikely to give you sufficient merit aid for a 32, alas. 
All others will offer some need-based aid as well as merit aid, but run the NPCs and cross out the most expensive ones.
Add URochester, Case Western Reserve, Olin, WPI.