Any recommendations on booking a mountain hut, many which are rapidly becoming fully booked?

by Cory
(USA)

Gary,

I have enjoyed your website while planning a trip to Japan with my wife and son. My son is graduating from high school, wanted to go to Japan to take it all in and climb Mt Fuji on August 29/30.

We have had our alarms set to book space but it hasn't worked out. I tried to book a room for 3 at Horaikan but only got a room for 2. Then tried to get back in and book a single and it was already sold out.

Another hut opened the same night, and I missed out. Tried another one and got hung up on the Taro name and missed it.

My next plan is to try to get a single for myself at Ganso Muro or Toyokan while my wife and son stay at Horaikan. Is that our best bet? Or would you recommend something else?

Thank you!!

Cory