Realistically, I don't think we can expect to see many offers when most of the country's schools are on summer vacation. That's when people flock to Disney; they have no reason to lower prices or give special offers to entice people to come. So late May, June and July are probably not going to happen.
Free dining has been offered in late August the past few years, after the schools in the South have started returning to school. If half the country is in school, I can see how they would want to entice others to come.