I will just pile on with the especially for engineering you should look beyond the ivies. I would recommend doing some research into good engineering/biotechnology programs. I think you will be surprised.
My H is in biotech with a degree from a T150+ engineering school and it’s never mattered. Like you, he got stronger academically over time. During college he talked his way into an internship with a well-respected biotech company which led to a permanent job offer. After a few years there, next potential employers only cared about his work experience not where he went to school.