Start at post #49: http://talk.collegeconfidential.com/financial-aid-scholarships/1461983-competitive-full-tuition-full-ride-scholarships-p4.html
If you end up needing a full-tuition award, the more selective schools on that list will usually require top-shelf scores to be competitive (ACT 34+, excellent GPA). Your scores will get you full tuition somewhere, but it’s a question of whether the quality/fit of that school will beat UMA-Amherst or Alabama. Anyway, it really depends how much merit aid you need.