If you don't want to see snow June would be the better time. If you come early May the parks are not open yet you wouldn't be able to see Yellowstone and Teton Natatioal Park with all their beauty. If you came early August we were in Dubois, WY.have are Quilt Show and if I say so myself for a small town it a pretty good one. Last year one of the editors from Patchwork Quilts came by on her vacation and said it was one of the best she'd seen.