If Noah and his family landed on Mt. Ararat, I would think that it wouldn’t take long for the area to re-freeze after the flood waters subsided.
I don’t think it’s necessarily a stretch to think that the ark would still remain on the mountain. It’s not like Noah and his family could linger long there. They had lives to rebuild. I doubt they would have bothered with the labor of carrying the timber down the mountain, as one “expert” claimed was the case.
I would think they would make their dwelling in a cave or a tent of some sort, not a timber house. God reportedly provided an olive branch. It seems that he had planned resources for their landing.
I think it’s not a stretch to imagine them ditching the boat on the mountain.
I always thought the ark would be found as one of God’s last visible warnings before his judgment on the earth would come. I think it’s been preserved by God for the time that he has chosen to reveal it to an unbelieving world.