The Amateur Traveler talks to New York travel writer Jeanine Barone about the Azores. The Azores are a chain of islands belonging to Portugal. Your travel agent will extol the beauty of the beaches but Jeanine says that the best of the Azores can be seen through hiking its craggy islands.    If you want to be in a place that feels very unspoiled, but is so close actually to fly there, a place where you feel like you stepped back to another era, then that’s why you should go to the Azores.    These are just gorgeous islands. Each island has its own personality and character. I just adore them.