Georgia Tech full ride is the obvious choice here. Prestige, to the extent it matters in engineering (which is rather less than in investment banking or consulting), is quite high for Georgia Tech in engineering. And the price is right.
And if you do go to business or medical school, the money you don’t spend on undergraduate (or debt avoided by going to low cost Georgia Tech) will be very helpful when looking at the bill for business or medical school.
But note that biomedical engineering job prospects are not that great at the bachelor’s degree level, so consider whether another type of engineering like chemical, electrical, mechanical, or materials may be suited for the kind of biomedical engineering interest your have, but also have other potential job prospects.