I would recommend you look into the quality of Honors Colleges. Some well-known ones include Plan II at UT (TX), LSA at Michigan, Schreyer at PSU, Honors at USC-Columbia, Sally Barksdale at Ole Miss… Not all offer significant merit scholarships.
Roughly speaking, for significant merit, look at South/Southwestern Flagship universities and Midwestern LACs and non-National LACs or regional universities in the North.
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