UNM would fit those criteria. State flagship, about 15K undergrads, plenty of school spirit, with a scholarship for their stats–UNM tuition + meal & housing would be around $20K/year.
UNM’s med school & hospital is directly across the street from the main campus. Presbyterian Hospital is less than a mile directly west of campus on Central Ave (which runs along the south side of main campus)
UNM scholarships info: Come to New Mexico! :: Office of Admissions | The University of New Mexico