You are a competitive candidate for the schools you’ve although competitive means reasonable, not a sure thing.
Your interest in health management with some very specific areas will limit which schools you apply to simply because there are a limited number of schools which offer that combination of topics. When you combine that with a cost range of $20-40K, it becomes even more limited. And then a liberal campus with a live sporting atmosphere and a supportive culture in some kind of a population center and the list gets smaller still.
College is expensive, so let’s start with cost. To get the cost down to your price range, you’re going to need to get scholarship money, given that your family isn’t going to get access to big bucks for aid based on need. You’re most likely to get scholarship money at schools where your profile puts you in the top 10% of the applicants, so I’d start there.