PURCELLVILLE, Va. — It’s a startling contrast to some observers — the glamorous, bikini-clad Miss America from 2011, Teresa Scanlan, finding her home at the tiny, super-conservative Patrick Henry College. The school requires students to dress modestly and “seek parental counsel when pursuing a romantic relationship.” But the match has been a good one. Scanlan returned to campus in late August to begin her sophomore year. Among the things she loves about her classmates and her campus: “I’ve never had to sign an autograph, and I’ve never had to take a picture. Here, I can be just another student,” she...