FLC OF A BRITISH HAWKER 125 SERIES 1000 (HS25) FAILED TO FOLLOW THE MISSED APCH PROC AS DIRECTED BY TWR DUE TO UNABLE TO MAKE THE VOR APCH. SUBSEQUENTLY; APCH CTLR GAVE TA AND INSTRUCTED RPTR TO CLB TO AVOID TFC AT THEIR SAME ALT STRAIGHT AHEAD.

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WX AT ASE WAS RPTED AS 4800 FT OVCST 10 MI VISIBILITY; BUT TWR RPTED ON TWR FREQ IT WAS BETTER THAN 6500 FT OVCST OVER THE FIELD. APCH CTL VECTORED US 7 NM N OF THE DBL VOR; GAVE US A BASE VECTOR; FOLLOWED BY A 190 DEG HDG TO JOIN THE DBL 164 DEG RADIAL APCH COURSE INBOUND; DSND TO 14000 FT; CLRED FOR THE VOR DME TO ASPEN. MY FO DECLINED THE CLRNC; SAYING WE ARE NOT AUTH TO EXECUTE THE APCH (THE VOR DME AT ASE IS NOT APPLICABLE TO CAT D ACFT; WHICH IS WHAT OUR HAWKER 1000 IS). THE FO STATED WE COULD CONTINUE TO TRACK THE 164 DEG RADIAL OFF DBL AT THE MVA. THE CTLR APPROVED THIS AND GAVE US DSCNT CLRNC TO 13000 FT. WE SAW THE ARPT AT 3 DME S OF DBL VOR; CONFIGURED FOR APCH; CALL ARPT IN SIGHT; AND WAS DIRECTED TO CONTACT TWR. ASE TWR CLRED US TO LAND; WE TURNED A MODIFIED L BASE RWY 15. WE HAD A FLAP MALFUNCTION; AND COULD NOT MAKE THE STEEP DSCNT; SO WE EXECUTED A GAR; CALLED TWR AS WE WERE ESTABLISHING ON THE PKN 300 DEG RADIAL COURSE OUTBOUND. TWR TOLD US TO PROCEED IMMEDIATELY TO THE MISSED APCH POINT. WE WERE ALREADY OUTBOUND; AND COULD NOT SAFELY COMPLY. WE WERE NOT FULLY SET UP FOR THE VOR APCH; SINCE WE ARE NOT AUTH TO FLY IT. WE CAN ONLY ACCEPT A VISUAL. TWR TOLD US TO CONTACT APCH. WHILE INITIATING A CALL TO APCH; THEY TOLD US 'TFC WAS AT OUR 12 O'CLOCK; SAME ALT (14000 FT) AND LESS THAN 1 MI; CLB TO 16000 FT.' WE WERE VMC; I SAW NO TFC BUT EXECUTED A MAX PWR EMER CLB TO 16000 FT. I DID NOT HEAR APCH TALK TO ANY OTHER ACFT; AND NO MENTION OF A CONFLICT BY APCH.