I do subscribe to touringplans. Here are the predicted levels for the days we'll be there (scale of 1-10, with 10 being most crowded):
May 30: 7 - best park = HS; worst parks = MK, AK
May 31: 9 - best = AK; worst = MK
June 1: 4 - best = MK, EP, AK; worst = HS
June 2: 5 - best = EP...