Most OOS public schools only offer merit for high stats, not need based aid.
UAH, UA, are both good choices and offer some generous awards. For UAH you can keep raising your ACT score and GPA and they will accept it for a higher award up until the end of senior year I believe.
All ABET accredited engineering programs will prepare you well, whether instate or OOS.
The FAFSA forecaster only lets you know if you qualify for a Pell Grant which it sounds like you will not.