Arriving at Midnight at Hangout Airport to Wuchang District

Hello, my flight got rescheduled and is going to arrive shortly before midnight at Xiaoshan Airport. My destination in the city is in the Wuchang District. From what I read so far the shuttle buses won't operate between midnight and 5am. Can you recommend how to get to my destination (e.g. take a cab? How much would it cost roughly from the airport and how much would it cost from e.g. the Wulinmen CAAC Ticket Office?).
Do cabs provide service during the night in front of the airport or do I need an app to call someone?
Thank you! - Marcel