Mountain for Rent: $4,500 a Day

Plattekill Mountain, a family-owned ski resort in Roxbury, N.Y., has 38 runs and two rustic chair lifts. Nicknamed Platty by locals, the mountain has a three-level utilitarian lodge with a wraparound porch and wood-burning stoves from the 1970s. Little about the building has changed, except the floor is now made of wood instead of hay,…