If said student has a high enough GPA and that SAT has a reasonable CR+M, then there are likely some automatic full rides, according to http://automaticfulltuition.yolasite.com/ . Of course, many may not be available for international students.
Troy: 3.7, 1380 CR+M
Tuskegee: 3.7, 1300 CR+M
Alabama State: 3.51, 1120 CR+M
Howard: 3.5, 1400 CR+M
Louisiana Tech: 3.0, 1400 CR+M
Louisiana - Monroe: 3.0, 1360 CR+M
Prairie View A&M: 3.5, 1760 CR+M+W
However, many students never find out that such scholarships exist.