I cannot find an online version.Buses depart approximately once per hour.
Here are the departure times from Miyazaki Station:
8:19, 9:40, 11:00, 11:45, 12:50, 13:55, 14:45, 15:40, 17:20, 18:45, 19:40, 20:45
The buses briefly stop near Aoshima about 50 minutes after leaving Miyazaki Station and at the entrance to Udo Shrine about 85 minutes after leaving Miyazaki Station.
In the opposite direction, buses leave Udo Shrine at the following times:
6:14, 7:21, 8:31, 9:41, 11:01, 12:11, 13:21, 14:31, 15:25, 16:21, 17:21, 18:21