Ok, so you want a near full ride. Those schools are listed here.
http://automaticfulltuition.yolasite.com/
http://competitivefulltuition.yolasite.com/
Some selections from these links for a 31 ACT are:
U New Mexico
University of Louisiana-Monroe
Application Deadline: Dec 3rd
Award: Full Tuition + Fees + $5000 housing stipend
Requirements: 3.0 GPA, 30 ACT or 1320 SAT (CR+M)
http://www.ulm.edu/scholarships/freshmen.html
http://www.ulm.edu/scholarships/outofstate.html
Note: First come, first served as funds are available
University of Arkansas at Monticello
Application Deadline: March 1st
Award: Full Ride (Tuition+Room+Board)
Requirements: 3.0 GPA and Top 10% Rank, 30 ACT
http://www.uamont.edu/pages/admissions/institutional-scholarships/
lots of others.