We target low crowd times. We have no kids and a flexible place of work, so any day of the year is always game for us. We did April 20-27th and Nov 29-Dec 8 in 2013. This year May 3-11 and an October date yet to be named are in our sights.
So I'm not sure what the crowds are like, but from all the researching I've done, I think this should be one of the lower crowd levels of the year. Disney prices seem to be lower early May than at least 30 days in either direction, so, though that should draw some people, I would think that means Disney expects to have some issues filling rooms at that time of year.