I wouldn’t go to Wake for engineering (that’s me) and I’m not a fan of the schools that force you elsewhere - that’s me.
I’d want to be in one place, where I can start in engineering - and start following the course flow.
Engineering is hard - and being somewhere established, in my mind, will be better than a Wake. Getting to know others for future projects and study is a better thing. 40-60% of kids (depending on the study) drop out of engineering - so I’d want stability.
Good luck whatever you decide.