DURING LNDG ROLL COMMUTER LTT HAS LOSS OF ACFT CTL; EXITS RWY.

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FO LANDED ACFT IN SHIFTY R XWIND. LNDG WAS MADE ON CTRLINE AND ROLLOUT NORMAL UNTIL END OF ROLLOUT (ABOUT 15-20 MPH) WHEN ACFT BEGAN VEERING TOWARDS R SIDE OF RWY. FO COMPLAINED SHE WAS UNABLE TO CTL IT AND I JUMPED ON THE BRAKES; BUT THEY WERE WEAK AND WE WERE ALREADY EXITING THE RWY TO R INTO DIRT AND THIN SNOW (NO ICE ON RWY; HOWEVER). I TOOK CTL OF ACFT AND ENGAGED PWR STEERING; ADDED PWR TO KEEP PLANE FROM COMING TO A STOP AND BROUGHT IT BACK UP ONTO THE RWY. ON TAXI BACK; BRAKES WORKED NORMALLY AND PROP SYS WERE RUN UP AND CHKJED. LOW PITCH STOP; OVERSPD; LOW AND HIGH IDLE N1'S CHKED FOR ASYMMETRY; ETC. EVERYTHING CHKED OUT NORMAL. CONTRIBUTING FACTORS WERE A R XWIND AND AN ACFT WHICH HAS A TENDENCY TO PULL A LITTLE R IN BETA AND REVERSE MODE (SHE ONLY USED BETA) BUT NEITHER OF THESE SHOULD HAVE BEEN UNCTLABLE. FO RPTED FULL L RUDDER AND BRAKING; BUT ON THE LTT; FREE CASTOR SYS FULL L PEDAL DEFLECTION MAKES IT DIFFICULT TO GET FULL BRAKE APPLICATION -- IT'S A STRETCH -- WHICH IS A TECHNIQUE PROB. ALSO; THE L BRAKE MAY HAVE BECOME HOT AND MUSHY FROM USE TO COUNTER THE R XWIND EFFECTS DURING THE ROLLOUT. FORTUNATELY; NO DAMAGE OCCURRED AND NO INJURIES TO PAX. SEVERAL THINGS COULD HAVE BEEN DONE BY PF: CONDITION LEVERS WERE HIGH IDLE -- THEY COULD HAVE BEEN BROUGHT TO LOW IDLE TO MINIMIZE ASYMMETRICAL PULLING IN BETA MODE. IF MOVING PWR LEVERS TO BETA INSTIGATED VEERING MOVEMENT; THEN THEY SHOULD HAVE BEEN PULLED BACK TO IDLE. A BRAKE MAY HAVE OVERHEATED; WHICH CAN BE AVOIDED BY A HEALTHY USE OF REVERSE THRUST UPON TOUCHDOWN; WHILE SPD IS HIGH ENOUGH STILL THAT VEERING MOVEMENTS CAN BE COUNTERED AERODYNAMICALLY WITH RUDDER DEFLECTION. LAST; BUT NOT LEAST; IF BRAKE BECOMES MUSHY AND ACFT IS VEERING; IN THE LTT YOU CAN ENGAGE PWR STEERING AND TURN IT BACK WITH THE NOSEWHEEL.