Actually, UA does have CSE
http://ece.eng.ua.edu/undergraduate/computer-engineering/
And you can even get better scholarships there:
http://www.uah.edu/eng/departments/ece/undergraduate/computer-engineering
It may be worth it to compare UCF and UAH - UAH is less gigormous and is in a research park, it attracts top level STEM students, but it’s still not residential and UCF may be a better deal for you.