Major-wise, if you know you ultimately want a business career, but want an engineering background, consider industrial/systems engineering, supply chain, or similar major that will give you a STEM/business mix in undergrad. As just one example, here’s the GT version of this major - possibly the top program of its kind: Bachelors | ISyE | Georgia Institute of Technology | Atlanta, GA This field can be a great way to get a highly-marketable ABET-accredited engineering degree that also involves the application of business principles.
It looks a bit like you’re assembling your list by rank. There are so many strong STEM schools that “T20” really isn’t as meaningful as US News would like you to believe. Consider terrific schools like WPI, URochester, CWRU, and Lehigh, all of which have business programs as well as engineering, as well as some programs that combine both
https://ibe.lehigh.edu/
https://www.wpi.edu/academics/study/industrial-engineering-bs
They all give merit aid as well.
Have you looked at Olin? It’s a very small, project-based engineering program; and there are entrepreneurship opportunities like this one that’s offered in collaboration with neighboring Babson https://www.olin.edu/case-studies/affordable-design-and-entrepreneurship-ade All admitted students at Olin get half-tuition merit.
I wonder why you have Emory on your list, which doesn’t have Engineering, but not Rice, which does. (It can’t be an aversion to Texas, since you’ve got UT-Austin on your list…)
VT is a fantastic in-state option, but it is not a safety. There have been several threads about highly-qualified in-state student who did not get into VT. You should get into VT but it’s not a sure thing.
Since you’re looking at CMU, also consider its next door neighbor, Pitt. If you apply right away when the application opens in August, their rolling admissions could put an acceptance in your pocket early on, in addition to maximizing your chances at merit aid. There’s no better safety than an early acceptance!
You’re a very strong candidate; if you apply to a good range of schools, you’ll end up with great options!