It's quite extraordinary to find this great hostel in fairly remote Kuqa. Run by a young, friendly English-speaking team, it's inside a converted warehouse in a courtyard and is stylishly designed with concrete floors and a minimalist air. The private rooms are all themed, and include a prison cell and a traditional Uighur home, and all rooms have private bathrooms.
The hostel is 4km east of the town centre on the south side of Tianshan Donglu between Changan Lu and Changjiang Lu, and there was no sign when we visited. Taxi drivers will know the nearby Bingsansi gas station: ask for 兵三司加油站 (Bīngsānsī Jiāyóu Zhàn).