Rogerstg,
I see that a few people have suggested the Adirondacks.......it's a magnificent place but be aware that June in that region can mean blackflies. They can be truly miserable. My personal fave is the Finger Lakes. I recommended to another list member recently to check out the Finger Lakes Cycling Club website, they have a large number of maps & cue sheets online for day rides, & you could easily string some of these tpgether for a tour. Start in Ithaca, Hammondsport or Watkins Glen and it's fairly hard to find an unpleasant place to ride as long as you don't mind hills. Hills can be minimized by doing whatever east/west riding you need to do up at the north end of the lakes.