3625 16th St. NW, the apartment building once known as The Ricardo, is getting a new name:
As far as I can remember, F. Scott Fitzgerald's only connection to the area is his grave, in the churchyard of St. Mary's, about a dozen miles from here in Rockville, Maryland. And I don't really see how "Gatsby living" works here, The building is in a very convenient location but not at all a glamorous one.
There are other apartment buildings with writer's names attached, directly or at second hand. Directly, there are the Paul Laurence Dunbar Apartments on 15th St. NW at about V St. At second hand, there are the Longfellow Arms on Longfellow St. NW, and Whittier Gardens, bounded on the south by Whittier St.