You need to go to a school that has Medical school advising, check that at each school, or you may get rejected at all your medical school choices. Many candidates get rejected two years in a row for medical school. What you do in the summers matters a lot and medical school advising, including letter writing, is KEY to getting in. Saving money on undergrad means you may never make it into Med school, although if you earn a perfect MCAT score, you may make it from anywhere. The MCAT covers mathematics, and physics. You will need a lot of hours to study for the MCAT so build that into your schedule.
Pomona, Claremont McKenna, or Cornell will give you an edge if you got into any of those, and you can afford it.
Where did you get in, among the private schools?