I hiked from Cheshire to North Adams and overnighted at Greylock (elevation 3491 feet) Oct. 12, 2004. I didn't know Bascom Lodge was open so brought all my camping gear. I arrived at the Lodge at 4 pm and was told they had a dorm room for $26 (on weekends it's $36). There are also several private rooms for around $70-$75. Bascom Lodge is a substantial stone building. The atmosphere there on a quiet weeknight, with a fire in the fireplace and the sun setting over the Catskills, is a hiker's dream of paradise. The staff was extremely friendly and helpful to everyone. There are some serious hikers working there who can answer all your questions.
The women's dorm had four bunk beds and one single bed. The whole south wall was windows and looked east, south and west. The view was amazing, all the way south to Mount Everett and Mount Race and beyond. The price includes a hot shower and coffee in the morning. There is a snack bar that sells hot food or you can sign up for dinner or breakfast. You can also purchase small useful backpacking items, snacks, books, T-shirts. You can even send mail from there.
Staying at Bascom Lodge is a great way to hike Greylock. As a bonus feature the next day I caught a bus 100 yards fom the AT crossing on Route 2, changed in North Adams and was transported back to my car in Cheshire.