Transportation from Shiyan airport to Wudangshan before the park gate

I will arrive at Shiyan Airport on 10/11/2018 at 18:30. I want to take a taxi from Shiyan airport to my hotel, Wudangshan Tianbao Jiuru Inn, the hotel is located outside the Wudang mountain park, so I am not worried about the park gate being closed. Will it still be easy for me to find a taxi at that time? How much will the taxi ride be (approximately) and how much should I tip?
I read on this website there is bus 202 or 203 going from Shiyan airport to Wudangshan. Till what time does the bus run and how much is the bus fare?