Have you looked at Univ. Arizona
https://financialaid.arizona.edu/types-of-aid/scholarships/2021-2022-terms-and-conditions
Stamps Scholars- has leadership component https://www.stampsscholars.org/
You could run net price calculator at Iowa State and similar. Unclear as some are going test optional.
https://www.admissions.iastate.edu/scholarships/
His major could be a factor, since many small colleges may have more women than men. State flagships generally have more men than women in business or engineering majors.
There was a similar thread five years ago http://talk.collegeconfidential.com/financial-aid-scholarships/1845583-merit-scholarships-for-students-in-top-5-to-top-10-percent-with-33-act.html