PLT OF AN ATX BEECH SUPER KING AIR 200 MADE LONG LNDG RESULTING IN HVY BRAKING THAT CAUSED THE L MAIN 2 TIRES TO OVERHEAT AND BLOW OUT. HE PWRED THE ACFT OFF THE RWY IN SPITE OF THE 2 BLOWN TIRES.

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DURING AN EARLY MORNING POSITIONING FLT FROM HOU-DWH; I LANDED LONG FROM A LOC ONLY APCH (NO GS AVAILABLE). MY PERCEPTION WAS THAT I COULD MAKE A NORMAL LNDG; BUT BY THE TIME I FELT THE MAINS TOUCH; I WAS PROBABLY NEARLY 2/3 DOWN THE USABLE RWY SURFACE. THE APCH WAS MY SECOND ATTEMPT OF THE MORNING AT THIS ARPT. THE FIRST ENDED IN A MISSED APCH DUE TO STILL BEING IN THE CLOUDS AT MDA. SINCE THE WX PHENOMENON WAS GND FOG; I DECIDED TO TRY AGAIN; AND IF UNABLE TO LAND; DIVERT TO IAH. MY PAX WERE WAITING FOR ME AT DWH; AND AS IT STOOD; I WAS RUNNING 15- 20 MINS BEHIND SCHEDULE DUE TO A LATE START TIME WHICH WAS DICTATED BY MY PRIOR EVENING'S DUTY TIME. IN SPITE OF THE FIRST MISSED APCH; I PERSISTED. ON THE SECOND ATTEMPT; I SAW THE TOUCHDOWN ZONE IN TIME TO ATTEMPT THE DSCNT; BUT COULD NOT DISSIPATE MY ALT AND/OR GND SPD SUFFICIENTLY. IN RETROSPECT; I FEEL I WAS TOTALLY FOCUSED ON LNDG AND ACCOMPLISHING THE MISSION. A GAR (BALKED LNDG) WOULD HAVE BEEN MY BEST CALL; BUT IT NEVER EVEN CROSSED MY MIND UNTIL I HAD SHUT THE ACFT DOWN. I STOPPED ABOUT 100 FT SHORT OF THE END. THE LONG LNDG RESULTED IN MY APPLYING EXCESSIVE BRAKING AND BLOWING OUT BOTH TIRES ON THE L MAIN LNDG GEAR. THERE WAS SOME SCRAPING TO A BRAKE FITTING; BUT OTHER THAN THE TIRES; THERE WAS NO OTHER DAMAGE. IT TOOK ME WHAT SEEMED LIKE AN ETERNITY TO TAXI CLR ON MY FLAT TIRES. I AM THANKFUL THAT THE INCIDENT DID NOT HAVE A WORSE OUTCOME. I AM ALSO VERY ASHAMED OF MYSELF FOR MY DECISION MAKING AND JUDGEMENT. THE OVERCONFIDENCE AND 'GET IT DONE' ATTITUDE VERY NEARLY RESULTED IN A SEVERELY DAMAGED ACFT AND PERHAPS SERIOUS INJURY/FATALITY TO MYSELF. I AM COMMITTED TO NEVER RUNNING THAT KIND OF STUPID RISK AGAIN. I GOT THE ACFT STOPPED; ON CTRLINE ON THE PAVEMENT; BECAUSE I'M A GOOD PLT; AND LUCKY! HAD I BEEN A BETTER PLT; I WOULDN'T HAVE EVEN ATTEMPTED THAT LNDG. NEVER AGAIN.