There are some public universities that DO give merit aid to OOS students who are high performers. University of New Mexico, University of Arizona, Arizona Star, University of Alabama, University of Mississippi, Louisiana, Miami (Ohio). These are auto awards now.
And there are plenty of public universities with competitive scholarships…the Ohio State University, University of Maryland, University of Pittsburgh, University of South Carolina.
And some where high performers get merit awards like University of Delaware.
I could go on and on.
William and Lee? Do you mean Washington and Lee, or William and Mary…or what?