Any bites or interest on your property? If it were further west and if I had more $, I would be interested with a group of like minded people.Look at the floor in most of the pictures. Many are covered with water.
My bunker doesn't have the acreage but it's 3 times the size of that one, stays dry and only 1/3 of the price.
I saw a similar cave house a few years back. They used drapes for a ceiling to keep the rock dust from getting on and in everything.The cave uses geothermal for heat and cooling.
It does have humidity control and air handling. The floors are glazed not wet. On first thought it sounds like a good BOL until you find it is not far from a residential area in Arkansas. It is close to the New Madrid fault and "living" caves are not known for their stability. They don't talk about structural stability but if it has been made earthquake resistant and has a place for agro then it might be OK.
It is supposed to stay comfortable year round inside. I doubt it is damp or chilly since it was a hotel at one time that rented rooms at 1200.00 per night. One of the pics of one of the bedrooms looked like it had an AC vent in the wall so I'm guessing there is heat and air. Has a stables and barn as well as an indoor waterfall.no. It would be a nightmare.
Edited to add: Sorry, but I would not live in a cave unless my life really did depend on it. Chilly, damp, possibly radon unless you have a high quality air exchanger installed.
Plus, how would you escape if necessary?