Not too familiar with Engineering but for med school, pedigree is not a huge factor. What’s more important is to go to school where you have access to medical facilities and can maintain a good gpa (3.7+ science and overall) which is going to be difficult as an engineering major wherever you go. That said, dartmouth and brown have some grade inflation from what I’ve heard, not sure about others. I believe top business schools care more about pedigree…