Public health grad school would cost you, too. It is really hard to make recommendations given your fuzziness on the money aspect. If you do want to pursue merit money, then you need to apply to schools where you are near the top of their pool and they offer merit. Or you can focus on in-state. Combine this uncertainty with your uncertainty about major, and I actual test scores. And it is very difficult to make recommendations.
You should get a copy of the Fiske a Guide to Colleges, and have a more frank conversation with your parents about whether you should be pursuing merit aid.