The Dominican Republic
Why it's controversial: When the Dominican Republic retroactively took away the citizenship of some 200,000 Haitians living legally within its borders, it sparked an all-out tourism boycott to the Caribbean nation. Groups such as the International Campaign to End Apartheid in the Dominican Republic have urged Americans not to visit in order to send a clear message to the Dominican government that denationalization and mass deportations are not okay.
Instead go to: Puerto Rico, which is grappling with an economic crisis right now and could really use the help your tourism dollars would bring. Old San Juan has a similar feel to Santo Domingo, and the beach resort of Condado has more character than Punta Cana.