No bus operate.
Open google map.
Local bus operate overed in 2002 so 13 yrs ago
between Kuzuryuko stn(not Katsuyama) and Mino-Shirotori stn (not Gujo)
http://en.wikipedia.org/w/index.php?title=Kuzury%C5%ABko_Station&oldid...http://en.wikipedia.org/wiki/Mino-Shirotori_StationBut Kuzuryuko stn is very small no taxi waiting so cannot catch.
If catched Kuzuryuko stn to Mino-Shirotori not so close
taxi fare over 10000Y(28km/40min).
if take from EchizenOno stn(taxi waiting) more 10000Y plus.
(By local bus until EchizenOno stn from Katsuyama stn/bus operate not a lot)
Hitchhiking possible or not at Kuzuryuko stn?
Basically No this route using few cars regually. (include regular weekends)
But in GW or summer school holidays maybe possible catching traveler's car.
Again! "maybe".
So No good solution, No good other detour route.
Change plan or detour via Kanazawa stn,Shirakawago and Hida-takayama by Nohi bus.
(until Kanazawa stn by trains)
http://www.gujokankou.com/image/access/accces_map.gifMap center green area is Gujo city.
Some Japanese local train fan challenged this accross route
need walk over 2hrs and felt not safe but this is shortest/cheapest plan
so "Not recommend","Never again","Take a taxi" said all.