In your hometown, you can’t even go to the grocery store without running into someone who knows your mom. But on spring break? You’re just another face in the crowd of frat bros, beach bums and vacationers who will never cross your path again. What happens on the beach stays on the beach — or so they tell themselves.

A running theme in the Republican debates has been attacking former Secretary of State Hillary Clinton’s credentials. Clinton seems likely to earn the Democratic nomination in the primary, meaning that...