Case Western is an excellent school. You would need to demonstrate interest- join the mailing list and open the emails they send, clicking on links of interest (this will be tracked), visiting if you’re within driving distance and takibg an official tour.
In addition, it’ll likely meet your math needs. So now you need to sit down with your parents and run the NPC together.
UROCHESTER is another excellent choice.
Brandeis may be of interest too.
Run the NPC on each because they all calculate differently.
UArizona Honors as an academic safety with topnotch Physics if their merit is sufficient for your parents’ budget. (AZ is cutting merit scholarships so pay close attention.)