Isabel, I think your question got lost by Trulia, and got into the Buffalo, NY area, not NYC. You did mean Harlem in New York City, didn't you?
I have 2 questions about your idea. First, if you rent a home, what will make it available to you for a month in the summer? Were you looking for a vacation rental situation that would rent by the month? Does anyone out there know if Harlem has this?
Second, how would you keep up the maintenance on the place when you are so far away?