Evergreen Trails, located in Angelica, New York, has 25 cabins for rent with a wide variety of sizes and capacities. Their prices are reasonable, and the spaces look beautiful. They also offer tent sites. Nearby attractions include the "Grand Canyon of the East" at Letchworth State Park.
Evergreen's "Long House" cabin is pictured in the upper left and sleeps 8 people. It has two sleeping lofts, gas heat, and a stove/oven.
Next up, the Mariposa Ponds Campground in Houghton has two cabins for rent. The six-person unit rents for $68/night and the four-person for $58/night. The campground looks quiet, family-oriented, and has a wi-fi hotspot.
Great View Cabins are close to Allegany State Park, and Ellicottville.