Tony award-winning “In the Heights” is putting its namesake neighborhood Washington Heights on the map. As TV shows “Friends” and “Sex and the City” once made downtown Manhattan hip, some say that the musical, whose producers include developer Peter Fine, is doing the same for the upper Manhattan neighborhood. Immigrants, young people, and just about everyone priced out of the West Side have been drawn to Washington Heights. The area remains affordable, experts say, because people turn to Harlem before Washington Heights when they get priced out of other uptown neighborhoods. In its April issue, The Real Deal reported on an open house in the Heights.