The closest food sources are in Delaware Water Gap, PA, which is on route before you cross over the ped/bike walkway along I-80. There is no grocery store, but slightly off route in the "heart" of the town (it's not that big) there is a pizza place, a diner, a really nice bakery and a few higher end restaurants. There is also a small c-store that's part of a gas station. It's been a few years since I stopped in there but I seem to recall that they had things like canned chili and the like, but don't expect to get ingredients for hearty, cooked meal. Also, pack extra food/snacks for breakfast and the next day's ride because there is not much in the way of services from Worthington until Port Jervis, NY. You will find water and bathrooms at Millbrook Village. You will also pass the Walpack Inn, but I am not sure it's open for lunch, at least during the week. Along this stretch you can go off route a few easy miles from the junction of NPS 615 and Old Mine Rd. to get to Layton, where the Layton Country Store and Café serves up very good eats, and then backtrack. Not aware of any state parks on route north of Port Jervis until you get to the Hyde Park, NY area.
When are you planning on leaving? It can get pretty cold at night in the Delaware Water Gap National Recreation Area. I have done a couple editions of the Black Bear Century up there in mid-October. One year it was 32 degrees when we left the hotel to ride a few miles to the start of the event.