What are my chances at UIUC, Ga Tech, and Purdue?

I’m also planning on applying to Ohio St., U of M, and NC State, I’m instate in Michigan.

I’m trying to get feedback from different people than my counselors, parents, and friends - most of the people I know don’t have any experience applying for out of state schools, so I’m trying to pinpoint my chances a little more accurately.

I plan on majoring in materials science, computer science, or CSE.

Academics:
GPA: 4.0 unweighted, 4.31 weighted.
Class Rank: 1/~250.
Old SAT: CR 780, M 800, W 730.
New SAT: CR 760, M 700, Essay 15.
ACT: E 36, M 36, CR 35, S 36, Essay 23.

11 AP’s including Chem (5), Calc BC (5), APCS (likely 5), Physics C Mech (likely 5), Physics C E&M (4 or 5).
I have also taken 3 dual enroll courses - multivariate calc, differential equations, and linear algebra.

Extracurriculars:
Science Olympiad since 7th grade. 10+ medals in regional competition, 3 at the state level.
Boy Scouts since 5th grade. Eagle Scout and youth leadership positions for 4+ years.
Marching Band since 9th grade, with a leadership position as of last year.
Jazz Ensemble since 10th grade, lead alto the whole time.
NHS since 11th grade.
In total over 300 volunteering hours throughout my high school career.

Would it be worth my time to apply to a safety like MSU? Also, I understand that these schools have competitive admissions, but would you recommend any true reach schools like Stanford or MIT?

Gender and Ethnicity? I think you are competitive at all the schools listed in title, and if a women or URM then Stanford and MIT are low reaches.

Whoops. I’m a white male, so no help there.

I’ve been doing a little more research into colleges - I had initially been looking into primarily public schools, but it seems like a good idea to apply to a few private ones as well.
What do you think my chances would be at Cornell or Carnegie-Mellon? Are there any other private schools you’d recommend for engineering?

CMU and Cornell CS would be high reaches. Apply if you want but temper expectations.