The University of Illinois has really excellent Engineering programs and STEM offerings overall. It’s also decent in the Humanities, so it’s a strong school all-around. Between the Illini and the Panthers, you have two good state schools into which you should be admitted. Illinois has a top-10 Engineering school; they don’t come much better, if at all. That’s something to keep in mind.
We need to find you some lower reaches, high matches and matches.
I think in terms of private schools, you might consider schools like these to add some mid-range to your search:
Rice - Low reach
USC - Low reach
University of Rochester - High match/match
Lehigh - High match/match
Case Western - High match/match
Boston University - Match
Syracuse - Match