36 ACT should get a Presidential scholarship at the University of Utah (full tuition plus $5000 towards room and board) and a decent shot at the competitive full ride Eccles scholarships (30 per year). These sorts of cohort based programs (of which there a quite a few, though only a few like the UVA Jefferson scholarships are very widely known) are an excellent choice for strong merit seeking students as they provide a lot of support for research, graduate scholarship applications, etc.