Clemson University’s National Scholars program is it’s full-ride scholarship program. It is very competitive, they offer 10-12 per year(at least half of those seem go to in-state South Carolina students. My daughter, OOS, was a finalist 2 years ago with a 35 ACT, good ECs, recs etc. She attended the scholarship weekend, but was not offered the scholarship by Clemson.
The University of Alabama is a great school which does offer automatic full tuition and smaller merit scholarships for various stats. Also, consider Temple University in Philadelphia, they also offer automatic merit scholarships for high stats. There are threads here on CC which lists others, see also the financial aid and scholarship threads: