Your hotel is Nakaokogen Hotel Kazaguruma, isn't it?
That hotel seems within a walking distance
from the nearby Nakaokogen-guchi bus stop.
Takayama Bus Terminal
(0)
| Nohi Bus: Hirayu-Shinhotaka Line
| : 2130 yen; about 1 and a half hour
(HO58)
Nakaokogen-guchi bus stop.
- Local route bus Hirayu-Shinhotaka Line
https://www.nouhibus.co.jp/route_bus/shinhotaka-line-en/Nakaokogen-guchi bus stop
(HO58)
| Nohi Bus: Hirayu-Shinhotaka Line
| : 780 yen; about 30 minutes
(HO37)
Hirayu Onsen bus stop
(HO37)
| Nohi Bus and Alpico Kotsu:
| Express Bus Takayama-Matsumoto Line
| : 2370 yen; about 1 and a half hour
Matsumoto Bus Terminal.
- Express Bus Takayama-Matsumoto Line
https://www.nouhibus.co.jp/highwaybus/matsumoto_en/: Booking is unacceptable on this express bus line.
The following two connections sound good for you.
Nakaokogen-guchi 07:59 --
08:28 Hirayu Onsen 08:50 --
10:15 Matsumoto Bus Terminal.
Nakaokogen-guchi 09:59 --
10:28 Hirayu Onsen 11:10 --
12:35 Matsumoto Bus Terminal.