Chances of an international senior for chemistry major at *private* colleges

Thanks. I’m into chemistry for now, and might pursue a minor/2nd major in math. I’m not really into Harvard, tbh. Just that everyone around me is applying. My “dream” uni is Caltech, although I’m not expecting to get in :smile: ; and Berkeley among the publics. For the ED2 at Johns Hopkins, I chose Chemical and Biomolecular Engineering at Whiting school

Would you suggest some more STEM-ish unis? I want a research-heavy career, so I care mostly about education quality rather than brand value :neutral: