First, congratulations on all that you’ve done - you have excellent academics and a very good set of other accomplishments.
How does that work with the auto admissions to the different public universities in Texas? If you are unable to qualify for auto admission to public universities which admit based on class rank (like UT Austin), they are not safeties (I know that some auto admit based on GPA and test score).
That is your main issue. While colleges with admission rates of under 20% are reaches for everybody, including you, based on your profile they would be possibilities, and you probably would be accepted to at least one or two. Most other colleges would be matches, likelies, or safeties, though engineering tends to have lower acceptance rates.
Your problem really is which colleges will be affordable.
For reaches, look at colleges which are full need met (Prepscholar has a list). Most will be reaches, but they will be affordable. Some. like Case Western Reserve or Lafayette college (if you prefer a s smaller college), will be closer to matches, even though they have a 30%-35% acceptance rates. You would likely need to apply ED, though.
Except for colleges that provide automatic merit for students with high GPAs (like Arizona State), no out of state public university would be affordable. However, you may be able to dicker. Your academic profile is such that some would find money to ensure that you attend their college. But those would be colleges with higher acceptance rates.
Otherwise, your best bet is either high acceptance private colleges which provide a good amount of merit aid, or the low acceptance private colleges which are full need met.
However, always make sure that the amount of financial aid that the colleges believes meets your full need will actually meet your full need.
Good luck