The pilot was performing a visual approach to a mountaintop airport with an estimated density altitude of 9,860 ft, and a tailwind component. He stated he “carried some extra speed” during the approach to compensate for wind and turbulence that he described as “burpy.” As he started to flare, he got pushed hard to his left. He lowered the nose and increased engine power to abort the landing, but the airplane struck trees and a small building before coming to rest inside the wood line on the left side of the runway, which resulted in substantial damage to both wings and the fuselage. Airport surveillance video depicted the airplane on approach, and as its attitude flattened in the landing flare, its nose and left wing deflected downward, and the airplane departed the left side of the runway where it struck trees and a building. The pilot reported that there were no mechanical deficiencies with the airplane that would have precluded normal operation.