I will arrive at Dalian Zhoushuizi Airport at 1.50 am, and the connecting flight is 8 am.

I am afraid it is not permitted. You are advised to stay at the nearby hotels. The Southern Airlines Pearl Hotel is highly recommended. It is located at No. 69, Yingke Road, to the opposite of the terminal. The hotel provides clean environment and nice service. A standard room costs about CNY 300 per night. The reservation hotline is 86-0411-83882981. Have a try!