Which hostels or cheap hotels in beijing city are near the bus stops of the night buses?

Do you refer to Xidan Night Shuttle Bus Line?
If yes, you can take this bus and get off Xidan (Civil Aviation Building) Station (the terminus).
Then you are suggested to stay at Hangmei Zhijia Hotel. The price is CNY 300 to 400 per night. You can see the hotel directly after getting off the bus. The address is 2nd Floor, Civil Aviation Building, No.15, West Changan Street, Xicheng District.

Thanks for the quick response, Ryan.
I can't find Hangmei Zhijia Hotel in the internet. However I found Delida Konggang Zhijia Business Hotel.
1. Would you know if it is convenient to reach this hotel after midnight? How? We are arriving at Capital Intl Airport just after midnight (1205am).
2. Would you know how we can reach Dragon King Hostel after checking out Delida Konggang Zhijia Bus.Hotel?
Thanks

1. Yes, the hotel you searched out is only about 4km away from the airort. It is convenient to take a taxi to reach at a cost of no more than CNY20.
2. The hostel has more than one branch in the city. May I know if you refer to the one at Dongsi Jiutiao? If so, it is around 30km away. It takes around 35min by taxi and costs around CNY80. By public transport, you need to walk around 10min to Gangshancun South bus stop to take no. 935 to Dongzhimen Outer. Transfer to no. 24 and get off at Dongsi Jiutiao. Walk west for 5min to find the hostel on the right side.