AN SF340 SLID SIDEWARDS DOWN PART OF THE SNOW COVERED RWY AT BMI AFTER HITTING A SNOW BERM LEFT ON THE RWY. R ENG FLAMED OUT FROM INGESTING SNOW.

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ON FINAL APCH TO RWY 29 AT BMI WE ASKED FOR CURRENT WINDS AND RWY CONDITIONS. WINDS WERE RPTED AS 010 DEGS/22 KTS; BRAKING ACTION FAIR TO POOR WITH 1/4 INCH SLUSH AND 1 INCH SNOWDRIFT ACROSS LAST 25 FT OF RWY. WE CONSULTED THE BRAKING ACTION VERSUS XWIND COMPONENT CHART AND CONCLUDED THAT WE COULD LAND WITH A XWIND UP TO 25 KTS. AFTER TOUCHDOWN IT BECAME APPARENT THAT THERE WERE 1 FT SNOWDRIFTS THE ENTIRE LENGTH OF THE RWY WITH THE REST OF THE RWY COMPLETELY COVERED WITH 3-4 INCHES OF SNOW AND SLUSH. THE SNOWDRIFTS ON THE L SIDE OF THE RWY GRABBED THE L MAIN GEAR AND TURNED THE ACFT L. ACTUAL BRAKING ACTION WAS NIL. THE ACFT SLID IN THE DIRECTION OF THE RWY WITH THE ACFT LNDG APPROX 90 DEGS TO THE L FOR APPROX 100-200 FT BEFORE WE WERE ABLE TO CORRECT THE ACFT LEADING TO RWY DIRECTION. AT NO TIME DID THE ACFT LEAVE THE RWY SURFACE. WHILE THE ACFT WAS SLIDING A SUFFICIENT AMOUNT OF SNOW AND SLUSH WAS INGESTED INTO THE R HAND (#2) ENG CAUSING IT TO FLAME OUT. WE RECOVERED FROM THE SLIDE AND TAXIED ONTO THE TXWY. ATC ROLLED CFR VEHICLES AND ASKED US IF WE NEEDED ANY ASSISTANCE. WE RESPONDED THAT SINCE THE TRUCKS WERE ALREADY ROLLED; WE ASKED IF ONE COULD SURVEY THE ACFT FOR ANY DAMAGE BEFORE WE TAXIED FURTHER. THERE WAS NO APPARENT DAMAGE TO THE ACFT. WE COULD NOT TAXI ON 1 ENG DUE TO THE AMOUNT OF SNOW ON THE TXWY; SO WE RESTARTED THE R ENG AND TAXIED TO THE GATE WITHOUT FURTHER INCIDENT. UPON POSTFLT INSPECTION WE FOUND DAMAGE TO THE TAXI LIGHT; WITH R HAND NOSE GEAR DOOR AND R MAIN SPARE DOOR BENT. I BELIEVE THAT THIS INCIDENT WAS CAUSED BY THE INACCURATE RWY CONDITION INFO THAT WAS GIVEN TO US. IF THE INFO HAD REFLECTED THE ACTUAL CONDITIONS WE WOULD NOT HAVE ATTEMPTED THE LNDG.