Yeah, Ave Maria University does provide scholarships based on merit. Here are some of them:

Michigan Scholarship
Total Worth: $7,000 per year
Eligibility: $7,000 per year
Minimum Criteria: high school GPA of 2.8 (unweighted) or above; and an ACT score of 22 or above, or an SAT score of 1100 or above
Requirement for maintenance: a University GPA of 2.5
Separate application needed: Yes

Michigan Homeschooled Faith Scholarship
Total Worth: $9,000 per year
Eligibility: $9,000 per year
Minimum Criteria: a high school GPA of 2.8 (unweighted) or above; and an ACT score of 22 or above, or an SAT score of 1100 or above
Requirement for maintenance: a University GPA of 2.5
Separate application needed: Yes

Kazma Scholars Fund
Total Worth: $12,500 per year
Eligibility: $12,500 per year
Minimum Criteria: Test scores that place you in top 20% academically
Requirement for maintenance: university GPA of at least 3.0 with no grade lower than a C

Ave Maria University provides aids at an average of 18407 per student meeting 75% of students need. 100% of students with need receive financial aid at an average of 14914 need-based grant. They also provide other scholarships including Faith and Football Scholarship and Wisconsin Scholarship.