North East along the coast towards New Haven, Mystic, Newport all within about 3 hours. Push to 4 hours and you're in Cape Cod which in June should be fantastic "shoulder" weather and great beaches. Head for Dennis or Chatham in the middle. It's a very straightforward run straight up I95
North towards the Litchfield Hills or the Berkshires
West into Pennsylvania, about 3 hours and you're in the heart of Armish country around Lancaster. 4 hours to Gettysburg which is a great little area to explore