Where should I apply to for college with my budget?

Yes, knowing where you live (and the areas where you would or would not be interested in) would help.

I would not count out private schools, if you are in the top 25 percent of their applicants you have a good chance of merit. But, looking at in-state publics is the place to start. Those publics can be super competitive, however, so it’s good to have a variety of types of schools to investigate.