Specifically, I have Michigan's summer start or Duke's joint programs (which start in the summer) in mind. Is it the case that they do not report the numbers of summer starters to USNWR? So, you aren't reflected in your rankings? In that case I'm wondering if that means they have little incentive to offer you a scholarship.
On the other hand, they do want to fill their programs, especially in Duke's case, and they do want to keep your high scores away from their competitors.