I would be careful when saying that somebody has a very good chance of acceptance to schools with single digit acceptance rates. It might happen, but it might not. Students get shut out of these schools all the time.
I consider UNC,UVA, Michigan and Emory to be outstanding schools, but I would focus on safeties and targets. UVA and UNC will be reaches if this student is OOS. Emory is a good addition, but it is not a safety.
OP- take a look at the University of Rochester.