Neversink New York Traffic 2024-12-22 Roadnow Weather | Gas | Restaurants | Hotels | Car Repair | Convenience Stores Cities close to Neversink New York Grahamsville, NY 3.85 mi Woodbourne, NY 6.92 mi Napanoch, NY 10.23 miInterstate highway exits close to Neversink New York Exit 99, i86 17.83 mi Exit 100, i86 17.83 mi Exit 101, i86 18.20 miInterstate highways close to Neversink New York i86 map 17.83 mi i87 map 38.93 mi i84 map 42.25 miState roads close to Neversink New York NY 42 map 1.65 mi NY 55 map 2.75 mi NY 55A map 3.54 mi