At about 1512 Eastern time, the airplane was substantially damaged during a landing overrun. The airline transport pilot and the six passengers were not injured. Marginal visual conditions were reported; the Part 135 scheduled passenger flight was operating on an IFR flight plan. Nearing its destination, the airplane descended out of clouds at about 2600 feet msl, and the pilot sighted the airport and was cleared for a visual approach to the airport. At about the same time, the pilot noticed airspeed had decreased significantly. He pushed the nose down and added power. The airplane initially touched down about 1000 feet beyond the threshold of the snow-covered runway. The nose gear made runway contact at about mid-field; braking action was “nil.” Recorded weather observations indicated continuous snowfall started about two hours prior to the accident.