^ That depends on much higher than $100K your family income is, and on your qualifications.
Here’s a list of ~60 schools (mostly private) that claim to cover 100% of demonstrated need:
http://www.usnews.com/education/best-colleges/paying-for-college/articles/2016-09-19/colleges-that-claim-to-meet-full-financial-need
As your household income exceeds a certain level (maybe $125K-$150K depending on the school etc etc) your net price for these colleges will start to exceed~$30K or so. So you’d be paying a bigger and bigger premium over sticker prices for your in-state public universities (let alone the net price after a full tuition merit scholarship). Again, run the online NPCs to compare.
All ~60 cover similar pre-med courses. I assume all or nearly all have pre-med (or health professions) advisory services. I’d be inclined to choose based on overall personal fit, net price, and admission chances (not by trying to parse the differences in pre-med application or admission numbers). In considering smaller, less selective, less wealthy colleges, it might become more important to consider those numbers.