Fly to NRT, NGO or KIX, make your way to Kyoto one way or the other and try to schedule the whole in May ( outside of Golden Week ) or September. Hilton in Osaka or the new (re-branded ) Hyatt in Kyoto itself.
Let the hotel concierges make advance bookings in one of the top notch Kaiseki restaurants located in the mountains surrounding Kyoto. What you get is al fresco dining on tatami mats, first class Japanese haute cuisine, matching fine drinks, the sounds of a mountain stream flowing underneath and beautiful nature just next to you.
And this was only lunch. Now it's time to head to your mountainside Ryokan ( of course civilized by taxi ) for a relaxing bath before sampling another set of local fine cuisine and rolling the futons out for the night. No need to worry about getting down into the valley before next day...