Departures this time of year very generally favor a departure from runway 31L/R, which favors sitting on the right side, as there is a sharp left turn after departure that gives a great view of Manhattan from the right side of the plane. I'd give that a > 2/3 chance of working.
You could improve the odds by taking a crash course in reading aviation weather forecasts and changing your seat based on that but it's really not worth the effort.