Grand Cayman, known for its sprawling Seven Mile Beach and world-class scuba diving, has its first new resort in more than a decade. Most of the 266 rooms at the Seafire offer views showcasing the sunsets that inspired the property’s name. The three restaurants include the seasonal, small-plate Ave, whose 24-seat chef’s counter, Avecita, serves a Spanish tapas tasting menu. At the bar off the lobby, try a cocktail featuring tepache, a beverage made from fermented pineapple rinds.