Norway, NY Sheds, Carports, Garages and accessory dwelling Units for Sale Sheds for sale in Norway, NY have an average price of $6757.25 with an average square footage of 203. The average cost per square foot is $33.29. ShedHub.com is aware of 1 dealers within 20 miles of Norway NY. The most popular shed styles at these locations are High Barns, Mini Barns, and Garages.