A LIGHT WT CHALLENGER PIC OVERSHOOTS HIS ASSIGNED ALT WHICH HAD BEEN AMENDED WHEN ONLY 600 FT FROM FL190 W OF HOU; TX.

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CLBING OUT OF HOUSTON HOBBY; WE WERE TURNED OVER TO ZHU; AND RECLRED TO CLB TO FL230. OUR DEST WAS DAL; SO CONSEQUENTLY; WE WERE VERY LIGHT; AND ABLE TO CLB QUICKLY. I HAD ENGAGED THE FLC MODE; AND DIALED IN 280 KTS; WHICH WAS THE SPD WE HAD BEEN RESTR TO. PASSING THROUGH 18400 FT THE CTLR INSTRUCTED US TO LEVEL AT FL190. OUR RATE OF CLB WAS IN EXCESS OF 4000 FPM. I SELECTED THE ALT HOLD MODE AS THIS WOULD MAKE THE SMOOTHEST LEVELOFF AT THIS RATE OF CLB. I DID NOT WANT TO DISENGAGE THE AUTOPLT; AS THE ACFT WAS TRIMMED FOR A HIGH RATE OF CLB; AND THE OVERSHOOT WOULD HAVE BEEN WORSE. I INSTRUCTED THE OTHER PLT (A CAPT AND INSTRUCTOR IN TYPE) TO TELL CTR THAT WE WOULD BE OVERSHOOTING DUE TO THE HIGH RATE OF CLB; AND SHORT NOTICE. HE DIDN'T. HE HAS LET ATC TALK HIM INTO CORNERS IN THE PAST. FOR EXAMPLE; IN OUR TURBOPROP; ON FINAL TO A BUSY HUB; HE WAS ON FINAL; CLRED TO LAND; AND ATC INSTRUCTED HIM TO EXPEDITE OFF THE RWY; BEFORE HE WAS EVEN ON THE GND. HE BLEW 2 TIRES THE FIRST TIME; AND A MONTH LATER; BLEW THE 2 BRAND NEW TIRES THAT REPLACED THE FIRST SET. UNBELIEVABLY; HIS STORY TO THE CHIEF WAS THAT ATC PUSHED HIM. WE EXPLAINED TO HIM THAT WHEN CLRED TO LAND; HE HAS THE WHOLE RWY; UNTIL FINISHED WITH IT; AND IF WE CAN EXPEDITE SAFELY; WE'LL DO WHAT WE CAN. AS CAPT ON THIS FLT WHEN THE WORD WASN'T PASSED TO ATC; I JUDGED THAT I WAS TOO BUSY MAINTAINING CTL OF THE ACFT; AND I WOULD FORWARD THIS NOTE TO ASRS. WE PASSED THROUGH FL190; AND LEVELED OUT AT APPROX 19260 FT. I SELECTED VERT SPD AND DSNDED TO FL190. ABOUT A MIN LATER WE WERE RECLRED TO FL230. THE CTLR NEVER SAID A THING ABOUT THE OVERSHOOT. IN REVIEW; I FEEL THAT THE CTLR GAVE US A LEVELOFF WAY TOO CLOSE TO THE ALT. WE STILL HAD OVER 4000 FT TO CLB; SO THE HIGH RATE OF CLB WAS NOT OUT OF HAND. IF THIS WAS A TFC CONFLICT; ATC MIGHT HAVE GIVEN US A TURN VERSUS THE SHORT NOTICE LEVELOFF.