My daughter was also a STEM ballerina. Neither Wake or UChicago have ABET accredited mechanical or chemical engineering, so if that’s a true interest, she needs to carefully consider which schools will offer it. She certainly has the stats, and while I understand she has safeties, you might consider adding a few matches to her reachy list less unless she’s extremely excited about her safeties.
Specifically for ballet and continuing to perform on pointe - if that’s her desire - she should look hard at opportunities at MIT, Yale, UVA and Vanderbilt and consider adding Duke, Johns Hopkins and University of Southern California. The opportunities for ballet specifically are very different at schools, so if that’s something she wants to continue, the search is a bit tougher.
For matches she might consider University of Richmond (although they also don’t have engineering) and Case Western. And for safeties University of South Carolina’s ballet was much stronger than North Carolina’s publics in my daughter’s opinion.