On December 1, 1996, at 0845 mountain standard time, a Bellanca 17-30A airplane, N39812, was substantially damaged following a loss of control while landing near Ruidoso, New Mexico. The airplane was registered and operated by a private owner under Title 14 CFR Part 91. The private pilot and his passenger were not injured. Visual meteorological conditions prevailed for the 112 nautical miles cross country flight for which a flight plan was not filed. The personal flight originated from Santa Teresa, New Mexico, at 0800. The pilot reported that his flare and touchdown on runway 24 at the Sierra Blanca Regional Airport, near Ruidoso, New Mexico, were uneventful. He added that during the landing roll, about 200 feet beyond the touch down point, the airplane "abruptly pulled to the left" and as he corrected with right rudder, the airplane swung hard to the right. The pilot further stated that the airplane veered to the left about 70 to 90 degrees crossing the runway. The pilot added that he added power in an attempt to abort the landing. The airplane became airborne but could not establish a positive climb rate, so the pilot elected to retard the throttle and control was lost as the airplane touched down the second time. Examination of the airplane revealed structural damage to all 3 landing gears and both wings. The pilot reported that the left main gear tire was found blown at the side wall. The 600x6 tire had accumulated a total of 200 hours. The pilot stated that the blown tire precipitated the initial loss of control. The passenger concurred with the pilot stating that "the landing was very smooth." The recorded winds at the airport, 8 minutes prior to the accident, were from 280 degrees at 8 knots. The pilot reported that the winds at the time of the accident were from 210 degrees at 8 knots, gusting to 20 knots.