Borderline ACT Score, GPA, Where to Apply for Engineering?

Hello All.
I am new to this site so please excuse any unusual conventions. I am currently a junior in a small competitive high school in Ohio, and I recently scored a 31 on the ACT. Going from a 27, I was overjoyed to know that I could now easily get in on scholarship at OSU. However, I soon realized my score was just under the curve for what would give me a chance at many great engineering schools (Rice, MIT, etc.). With a decent GPA (3.8w-hopefully a 3.9w by the end of the year) and a fairly rigorous curriculum (1 AP last year, 3 this year, mostly honors courses, advanced in math and science) I was wondering where to apply. Additionally, I have 3 siblings, and being in a higher income bracket makes financial aid based on need a bit of an issue. Also, my EC’s are alright, this year I am starting in my schools First Robotics team and continuing with the YMCA Youth in Government program in an executive leadership position. Thanks for the help!

TLDR: 31 ACT, ~3.8-3.9 Weighted GPA, Some EC’s, curious on where I can get in for an engineering major that won’t bankrupt me.

try umass lowell, great up and coming program that you should get into. Right down the street from my house

University of Alabama-Huntsville
Application Deadline: June 1st
Award: Full Tuition
Requirements: 3.5 GPA, 30 ACT or 1330 SAT (CR+M)
http://www.uah.edu/admissions/undergraduate/financial-aid/scholarships/merit-tuition-scholarships

University of Alabama-Birmingham
Application Deadline: May 1st (December ACT/SAT)
Award: $15,000/year (Full tuition for up to 25 credits per year)
Requirements: 3.5 GPA, 30 ACT or 1330 SAT (CR+M)
http://www.uab.edu/students/paying-for-uab/scholarships/item/570-act-gpa-based-scholarships

University of Arkansas – Little Rock
Application Deadline: Priority, Dec 1st; Final, Feb 1st
Award: Full Tuition+ ($10,000/year + OOS Tuition Waiver)
Requirements: 3.5 GPA, 30 ACT or 1330 SAT (CR+M)
http://ualr.edu/scholarships/academic/

and more here:

http://automaticfulltuition.yolasite.com/

For aerospace, don’t overlook the automatic merit at UA-Huntsville!