Not sure if you intentionally left it out, but Op should apply to Auburn in state as well. Bama seems to get all the love on these boards, but Auburn has a great engineering program and is a good choice for pre med. The latest hire in my husband’s medical practice went to Auburn undergrad and Yale medical school. He speaks very highly of Auburn’s pre med advising through the PPAC program. I linked an article about it below. Op would get the presidential scholarship which covers almost almost all of in state tuition. Departmental scholarships can stack with the presidential. My son had an in state roommate who was actually getting checks back from the University each semester. If she applies when applications open, she would have an acceptance in hand by mid October. Honors decisions come out before Christmas.
You’ve made some great suggestions of other schools for OP to look at. I would just note that like Emory, neither Davidson or William & Mary have their own engineering programs. (But are great choices for pre med). I think it’s the same with Skidmore and Brandeis. She may want to add University of Richmond to the list if these types of schools interest her.