Elon University's Presidential Scholarship pays $8,000 to $12,000 a year and reaches about a quarter of each entering first-year class, which makes it one of the more widely awarded scholarships in this directory.
Elon confirms on its international admissions page that all first-year applicants are considered for it. The university is equally clear that it cannot offer need-based aid to students who are not US citizens, so merit awards like this are the route for international applicants.
There is no separate application, and the award renews annually on acceptable academic performance.