You can try having your parents run the financial aid calculator available on the financial aid website, but they’re ESTIMATES, not guarantees of aid. There is a limit of ~5-7K/yr. that students can take from the federal government, and most other loans will require your parents to co-sign i.e. they’re obligated to pay off the loan if you don’t.
If you’re set on attending Brown, you can always work hard in your undergrad at UF and apply for graduate school here.
Brown Financial Aid: financialaid.brown.edu
Hope that helps!