University of Michigan at Ann Arbor has about 4-5 full 4-year tuition scholarships per class. Criteria (based on my own experience, so take it with a grain of salt) include academic merit, life experiences, and the knowledge that they will likely lose you to other top-ranked schools unless they cough up. It is all very much on the DL, and they generally do not publicize their recruitment scholarships.
Three other schools with more high-profile 4-year awards are Emory (the Woodruff Fellowship, for which you and 11 other accepted applicants interview a second time for 5 awards; those not selected are promised at least 1/4 to 1/2 tuition); Vanderbilt (the Canby Robinson Scholarship, awarded to I think 4-5 students with no separate interview process, based largely on academic qualifications); and Duke (the Nanaline H. Duke award, awarded to 8 students without separate interview; don't know the exact criteria).
Wash U. also has merit scholarships, don't know the criteria. And as previous posters have noted, some state schools offer full and partial merit scholarships; I know that one of the state schools in Tennessee does.
Hope this helps. 😉
