ACR FLT CREW REPORTS TCAS RA AND NMAC WITH LIGHT TWIN APPROACHING DNW AT 12000 FEET. ACR IS ARRIVING AND TWIN IS DEPARTING JAC USING THE DNW 267 DEGREE RADIAL.

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WE WERE APCHING DNW OUT OF 16000 FT. I COULD SEE THE FIELD. ZLC ASKED US IF WE WANTED A VISUAL APCH OR AN ILS. WE TOLD HIM WE REQUEST A VISUAL AND THE FIELD WAS IN SIGHT. WE WERE CLRED TO 12000 FT. WE WERE INFORMED THAT ANOTHER ACFT WAS APCHING FROM THE S FOR A VISUAL APCH SO FOR SEQUENCING WE WERE CLRED DNW DIRECT QUIRT DIRECT JAC MAINTAIN 12000 FT MINIMUM ALT. ON THE APCH CHART WAS 11000 FT AND I COULD SEE WE WERE GETTING HIGH SO I ASKED FOR LOWER. WE WERE TOLD TO MAINTAIN 12000 FT AND ZLC POINTED OUT TFC A TWIN ENG CESSNA AT 10 O'CLOCK POS LOW. WE STARTED LOOKING AS THE PLANE WAS LESS THAN 5 MI AND WE COULD NOT SEE HIM. THE TARGET STARTED TO CONVERGE AND WAS CLBING. WE RECEIVED A TA AND COULD SEE THE TFC WAS LESS THAN 300 FT BELOW AND CLBING. I TURNED R AND PUSHED THE NOSE OVER AS THE TFC TARGET SHOWED 00 AND AS I PUSHED OVER THE TARGET TURNED RED AND THE CTLR SAID THEY HAD A COLLISION ALERT. I DSNDED TO 11600 FT TO AVOID AND AS I PUSHED OVER WE GOT A FLAP OVERSPD AS WE WERE AT 210 KTS BEFORE THE MANEUVER. WE REACHED APPROX 235 KTS IN THE OVERSPD. I ASKED FOR LOWER AND ATC TOLD US 12000 FT WAS THE MVA. SO I CLBED BACK TO 12000 FT AND WAS CLRED THE VISUAL AS WE WERE OVER QUIRT. WE WERE THEN TOLD THE TWIN CESSNA HAD US IN SIGHT. WE NEVER DID SEE THE ACFT AND HE WAS TALKING TO JAC TWR. IF WE HAD JUST BEEN CLRED THE VISUAL; WE COULD HAVE PROVIDED THE SEPARATION NEEDED ON OUR OWN RATHER THAN FLY A PRESCRIBED COURSE AND ALT FOR SEQUENCING; AS WE WERE VMC THE WHOLE TIME.