J3 PLT AT GTF MAKES 180 DEG TURN AFTER LNDG TO EXIT RWY RESULTING IN B737 GAR.

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I WAS FLYING MY 1945 PIPER J-3 CUB INTO GREAT FALLS; MT; ON A WINDY VFR DAY. I WAS IN RADAR CONTACT WITH GREAT FALLS APCH AND WAS TOLD BY APCH CTL THAT I WAS CLRED FOR RWY 25. I WAS APPROX 2 MI FROM THE ARPT WHEN APCH CTL HANDED ME OFF TO GREAT FALLS TWR. THE TWR IMMEDIATELY CLRED ME FOR RWY 21; 'FOLLOW ACFT.' I CONFIRMED TWICE WITH THE TWR THAT I WAS TO LAND ON RWY 21 AND NOT RWY 25. THE TWR ADVISED ME TO LAND #2 BEHIND ACFT ON RWY 21. MY GND SPD WAS APPROX 38 KTS. I ADVISED THE TWR THAT I WOULD MAKE A SHORT; CLOSE-IN BASE; WITH MINIMUM TIME ON THE RWY. THE TWR CALLED ME A SUPER CUB SEVERAL TIMES. I CORRECTED THE TWR STATING I WAS A J-3 CUB. I CONTINUED THE APCH BY LNDG LONG ON RWY 21 CLOSE TO THE REVERSE HIGH SPD TXWY. I WAS APPROX 40 DEGS ACROSS THE RWY. I WAS NOT ABLE TO LAND RWY HEADING DUE TO THE XWIND. MY LNDG ROLLOUT WAS APPROX 50 FT; JUST ABOUT INTO THE WIND. I ATTEMPTED TO CLEAR THE RWY BY MAKING A TURN FOR THE REVERSE HIGH SPD. SINCE MY CONCERN WAS KEEPING THE CUB ON THE GND WITH THE HIGH WIND; I WAS NOT ABLE TO EXPEDITE A HIGH SPD TAXI. THE TWR DID NOT MAKE A REQUEST FOR A HIGH SPD TAXI NOR DID THEY ASK ME TO CLR THE RWY ASAP. WHAT I DID NOT KNOW; DURING THE LNDG PHASE; IS THAT THERE WAS A SECOND ACFT JET ON FINAL FOR RWY 21; FOLLOWING THE CUB. MY GUESS IS THAT THE JET WAS HANDED OFF TO THE TWR; ON A SHORT FINAL FOR RWY 21. IF THE TWR HAD ADVISED ME OR IF I HAD COPIED THE TFC BEHIND ME FOR RWY 21; I WOULD HAVE IMMEDIATELY REQUESTED A GAR FOR RESEQUENCING. WHEN I TURNED TO MAKE THE REVERSE HIGH SPD I OBSERVED THE ACFT JET ON CLOSE FINAL. THIS WAS THE FIRST TIME THAT I WAS AWARE THAT A JET WAS FOLLOWING ME ON RWY 21. I KNOW THAT I COULD NOT MAKE THE REVERSE HIGH SPD IN TIME AND THE TWR HAD NOT YET CALLED A GAR FOR THE ACFT JET. I IMMEDIATELY EVACED THE RWY BY TAXIING THE CUB INTO THE GRASS; CONTINUING FOR A SAFE DISTANCE TO THE REVERSE HIGH SPD TXWY. THE TWR THEN CALLED A GAR FOR THE ACFT JET ON FINAL AND ADVISED ME THAT I DID NOT NEED TO CLR THE RWY INTO THE GRASS. AFTER PARKING; I CALLED AND SPOKE WITH THE APCH CTLR. HIS ONLY STATEMENT TO ME WAS NOT TO DO A 180 DEG TURN ON THE RWY. HE ADVISED ME THAT HE WOULD CONTACT THE LCL CTLR REGARDING THE LNDG. LESSONS LEARNED: ATC: THE APCH CTLR WAS ON THE BALL. HE HAD ME SET UP FOR RWY 25. HAD THE TWR CTLR LANDED ME ON RWY 25; THERE WOULD NOT HAVE BEEN A PROB. THE TWR CTLR WAS OFF BASE ON ATTEMPTING TO LAND A PIPER CUB IN FRONT OF A JET ON SHORT FINAL FOR RWY 21. FURTHERMORE; THE TWR CTLR DID NOT ADVISE ME OF THE JET TFC ON FINAL. PLT: IF I HAD NOT ATTEMPTED TO MAKE A 180 DEG ON THE RWY (FOR THE REVERSE HIGH SPD) AND HAD MADE A WHEEL LNDG; I MIGHT HAVE BEEN ABLE TO DRIVE THE CUB TO THE EXIT TXWY. HOWEVER; THE CUB IS NOT VERY STABLE ON THE GND IN HIGH WINDS AND CAN ONLY BE TAXIED AT SLOW SPD. I COULD HAVE REFUSED RWY 21 AND STATED RWY 25 ONLY; BUT I HAVE MANY HRS IN TAILWHEEL ACFT AND HAVE LANDED IN HIGH WINDS BEFORE. RWY 21 WAS ALSO CLOSER TO THE FBO; REQUIRING LESS DOWNWIND TAXI TIME.