We are planning to visit Japan in November, and I am trying to learn about the fastest, most efficient way to get from Hakone (Lake Kawaguchi) to Takayama. We would like to depart in the morning (although the exact departure time is flexible). I expect we will have a 14 day JR pass.
Looking online, it appears that there are two possible departure points: Otsuki station (this is probably closest to Lake Kawaguchi) or Gotenba station (sometimes written in English as Gotemba).
Using the Hyperdia website, it appears that the shortest route is about 5.5 hours (from either station, it looks like approximately 320 minutes), and may require first returning to Tokyo.
Is this all correct? Is this the best (fastest, most efficient) way to get from the Hakone area to Takayama?
Thank you for your assistance!