I saw some USAO graduates went to med school. USAO is one of the schools in the “OOS low cost, less than 20K for Tuition, room and board” categories and it is a “no name” school. So I guess if you do well in UG, you can be a doctor. The thing is to what extent is “Doing Well”? Perhaps first in the class is one of them.
BTW a 4.0 HS student will be reshuffled in college and may or may not get good grades. Do not bank on it.