I fly into PVG at night and want to travel by train to Ningbo in the morning.

What is the exact time that you will arrive at PVG? If it is before 21:00, you could take the subway line 2 to Hongqiao train station directly. Or, you could take the airport bus line 1 to Hongqiao airport first and then take a taxi to the hotel near Hongqiao station. Around 5 bullet trains are departing from Hongqiao station to Ningbo before 9am in the morning, so it is not that hard to get the train tickets. Besides, many hotels are located near the train station such as Motel 168, Hanting Express inns, Argyle International Airport Hotel Hongqiao and etc.