THE COMMUTER FLC'S DEST ARPT WAS CLOSED SO THE RPTR (PF) WAS FORCED TO DIVERT. THE DISPATCHER INSTRUCTED THE FLC TO DIVERT TO CHO; BASED UPON ACCEPTABLE WX INFO; BUT WITH THE 'LAST' RWY CONDITION RPT AND A CLOSED TWR. AFTER THE RPTR LANDED THE R WHEEL SLID OFF THE RWY AND ACFT CTL WAS RECOVERED. RWY CONDITION BRAKING ACTION NIL. RWY EXCURSION.

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DEPARTED PIT FOR SCHEDULED FLT TO LYH. APPROX 50 MI N OF LYH; CTR ADVISED THAT THE LYH ARPT WAS CLOSED. AFTER CONTACT WITH OPS WE WERE INFORMED THAT LYH DID NOT HAVE A SNOWPLOW AVAILABLE TO CLR THE RWY. AT THIS TIME WE CHKED WX AT OTHER LCL ARPTS; ROA -- VFR; GOOD BRAKING ACTION WITH NO PRECIPITATION AND TWR OPEN; CHO -- 300 FT CEILING; 1 MI VISIBILITY; SNOW; BRAKING ACTION LAST RPTED FAIR; TWR CLOSED. WE ADVISED DISPATCH THAT WE WANTED TO DIVERT TO ROA. DISPATCH TOLD US THAT SINCE THE STATION HAD CLOSED IN ROA WE WERE TO DIVERT TO CHO. BASED UPON THE INFO WE HAD CHO WAS ACCEPTABLE. THE ILS RWY 3 CHO APCH WAS FLOWN AND THE WX WAS AS RPTED; THE RWY WAS SNOW COVERED. AFTER TOUCHDOWN DURING THE LNDG ROLL THE ACFT BEGAN TO DRIFT/SLIDE TO THE R SIDE OF THE RWY. I WAS NOT ABLE TO STOP THE DRIFT/SLIDE TO THE R WITH FULL L RUDDER AND APPLICATION OF THE L WHEEL BRAKES; AS THE R MAIN WHEELS LEFT THE EDGE OF THE RWY I APPLIED PWR TO THE R ENG AND WAS ABLE TO RETURN THE ACFT TO THE CTR OF THE RWY. AS WE TAXIED THE ACFT TO THE GATE THE BRAKES WERE APPLIED AND WE FOUND THE BRAKING ACTION TO BE NIL. WE ALSO WERE ABLE TO SEE THE RWY LIGHTS AND HAD NOT HIT ANY OF THEM. AT THE GATE WITH THE PARK BRAKE SET THE ACFT SLID WHEN THE PROPS WERE FEATHERED CONFIRMING NIL BRAKING ACTION ON THE RAMP AS WELL. A POST SHUTDOWN INSPECTION REVEALED NO DAMAGE TO THE ACFT OR THE R MAIN GEAR. I FEEL THAT UNDUE INFLUENCE WAS GIVEN (TO CALL PERSONNEL BACK TO THE ROA ARPT) IN THE DISPATCHER'S ADVICE TO DIVERT TO CHO INSTEAD OF ROA. ALSO; I SHOULD HAVE GIVEN LESS CREDIT TO THE FAIR BRAKING ACTION RPT WHEN SNOW WAS FALLING AND THE CTL TWR CLOSED AT CHO.