NOSE WHEEL TIRE OF SMA BLOWS ON LNDG PROC AND ACFT SUFFERS A RWY EXCURSION. ACFT EQUIP PROBLEM.

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THE FLT WAS UNEVENTFUL; LNDG WAS TO BE MADE FOR PERSONAL REASONS (BATHROOM STOP) PLUS TO TOP OFF FUEL TANKS; ALTHOUGH MORE THAN ENOUGH FUEL WAS ON BOARD TO FINISH THE FLT ALN-STJ; 2:30 WITH 4:30 HRS FUEL ON BOARD. THE APCH WAS FINE TO ALMOST EXCELLENT. ON LNDG; THE NOSE TIRE SUFFERED A BLOW OUT. WT WAS KEPT ON THE MAIN TIRES FOR AS LONG AS POSSIBLE TILL THE AIRSPD WAS TOO LOW TO KEEP THE NOSE OFF; ONCE THE NOSE WAS LOWERED DIRECTIONAL CTL WAS AFFECTED CAUSING THE PLANE TO RUN OFF THE SIDE OF THE RWY BY 5 FT FOR THE L MAIN; 2 INCHES FOR THE NOSE; R MAIN REMAINED ON THE RWY. ENG WAS IMMEDIATELY SHUT DOWN BY PLT; EMER DECLARED; AND ACFT SECURED (MAGNETOS; MASTER). PLT; SOLO OCCUPANT OF THE ACFT; EGRESSED ACFT. CRASH AND RESCUE RESPONDED. NO AID WAS NEEDED OTHER THAN MOVEMENT OF ACFT OFF RWY TO THE RAMP. DAMAGE TO ACFT: 1 NOSE TIRE DESTROYED; AND AT FIRST LOOK NO METAL OR AIRFRAME WAS DAMAGED. NO PROP STRIKE OCCURRED. DAMAGE WAS LIMITED TO NOSE TIRE; AND POSSIBLE FRONT FORK. THE PLT; UPON REQUEST; GAVE INFO TO COLUMBIA TWR; KANSAS CITY FLT STANDARDS OFFICE AND THE CRASH AND RESCUE GROUP. (I WAS TOLD I HAD TO CALL THEM.) THE GENERAL FEELING AMONG THE WITNESS AND MYSELF (THE PLT) WAS IT WAS JUST BAD LUCK.