This is how I would spend my rest day or rainy day in Ogawayama...
1) Goto Onsen(hot spring)
Takimino yu was the best place I have tried... there are some other public bathing facilyty in Kawakami valley but Takiminoyu has a little cubic booth you can put yourself in and get some privacy, and they have free wifi.
They also have so many numbers of Manga. Restaurant was good.
2) Goto Ogawayama Layback
there are some routes that you can climb in rainy day, under the roof, but if rain is not much.
There are some crags that is rain resistant, but approach is hard and winding road, also most times over hang. If you are interested, check 100 crags topo book, you will find something like Kofu Makuiwa. Those were not maintained like in Ogawayama.
3) Goto Fujimidaira Hut (Hiking)
Mizugaki is a big mountain so you can just hike. Along the trail you will check the approach to the climbing area.
Japanese climbing area is NOT marked. Trails are not clear, because we want normal hikers to be away from climbing area usually more dangerous than hiking trails.
3) Goto climbing gym
No1 climbing gym in Yamanashi is Pirania but it is kind of far. 2.5 hour drive.
Grappa is the nearest climbing gym.
https://www.grappa-bouldering.jp/
If you don't want to pay too much, there is Kose athletic park in Kofu city but that is kind of far too.
If you are visiting Japan, The world famous Yuji Hirayama's climbing gym, Base Camp may be a good choice but it takes 4 to 5 hour away from Ogawayama.
Base camp is near Tokyo, so if that rainy day is Saturday and Sunday, every outdoor climber goes to Base Camp so you can kind of socialize that day.