I saw that nobody mentioned the Richmond Scholars program yet. It is an incredibly generous program, which offers full-tuition or full-tuition+room and board to about 1/15 from an incoming class. In addition, Richmond Scholars have other benefits such as priority course selection, or a 3000 $ stipend to be used for a project (chosen by the student) of almost any kind. Check it out:
Richmond Scholars Program, University of Richmond