I published several post about the limited express trains to Sanin area, such as Super Oki, Super Matsukaze, Super Inaba, Super Hakuto and Hamakaze. But there are some more trains from Osaka and Kyoto to Kinosaki-Onsen area. And there are several gateway stations. You might be confused.
Limited Express Super Oki (スーパーおき) is operated between Tottori (鳥取), Yonago (米子) and Shin-Yamaguchi (新山口). This train connects all major cities in Sanin area with Shinkansen station Shin-Yamaguchi. Especially you can access to west part of Sanin area, such as Masuda (益田), Hamada (浜田), Odashi (大田市) where is UNESCO World Heritage Iwami Ginzan Silver Mine gate station, this train is your choice. And you can use this train for transfer among Matsue (松江), Izumoshi (出雲市) and other cities in Sanin area. Other limited express Super Matsukaze is operated between Tottori and Masuda. You can use both trains for inter-city transfer in Sanin area. Moreover don’t forget than Tsuwano (津和野) is on the way. This small town is called “Sanin’s little Kyoto”.
Limited Express Super Hakuto (スーパーはくと) connects Kyoto (京都), Shin-Osaka (新大阪), Osaka (大阪), Sannomiya (三ノ宮) and Himeji (姫路) with Tottori (鳥取) and Kurayoshi (倉吉). This it the fastest and most frequent direct train service to Tottori from Osaka, Kobe and Kyoto. But this train goes through non JR line, Chizu Kyuko Railway. That means you need to pay extra if you use this train by Japan Rail Pass. If you don’t want to pay extra, Limited Express Hamakaze is available between Osaka and Tottori. However there is only one round trip and travel time is 1.5 hours longer than Super Hakuto.