NMAC BTWN A BEECH B350 SUPER KING AIR ON BASE LEG AND A PIPER PA38 100 FT BELOW GOING IN THE OPPOSITE DIRECTION.

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WHILE INBOUND TO THE BED ARPT FROM IAD; THE BED ATIS SAID RWY 29 WAS IN USE. BOS APCH TOLD US TO EXPECT THE VISUAL APCH TO RWY 29. WE HAD THE BED ARPT IN SIGHT ABOUT 15 MI OUT AND SO BOS APCH CLRED US FOR THE VISUAL APCH TO RWY 29. WE CONTACTED THE BED TWR AND TOLD THEM WE WERE FLYING THE VISUAL FOR RWY 29. BED TWR TOLD US WE WERE CLRED TO LAND BEHIND THE BEECH SIERRA. WE READ BACK THAT WE WERE CLRED TO LAND BEHIND THE SIERRA. WE CONTINUED ON THE R DOWNWIND LOOKING FOR THE SIERRA. ABEAM THE TOUCHDOWN POINT FOR RWY 29; I STILL DID NOT HAVE THE SIERRA IN SIGHT; SO WE ASKED THE TWR WHERE THE SIERRA WAS. THEY SAID HE WAS ON A 1/2 MI FINAL. AT THAT POINT WE STARTED OUR R BASE FOR RWY 29. THE TWR THEN TOLD US WE HAD FLOWN THROUGH THE FINAL AND TO TURN AND REJOIN THE FINAL FOR RWY 23. WE TOLD HIM THAT WE WERE LNDG ON RWY 29. AT ABOUT THAT TIME WE FLEW RIGHT OVER A PIPER TOMAHAWK THAT WAS GOING IN THE OPPOSITE DIRECTION. THE TWR TOLD US TO CONTINUE FOR RWY 29 BUT THERE WERE MEN AND EQUIP ON THE RWY AND HE WOULD TRY TO GET THEM OFF. WE WERE DSNDING ON THE R BASE FOR RWY 29 WHEN I SAW ANOTHER PIPER TOMAHAWK HEADING TOWARDS US; HE WAS ABOVE AND TO OUR R. WE STARTED A L DSNDING TURN TO GIVE MORE DISTANCE FROM THE TOMAHAWK. THE TWR THEN TOLD US TO GO AROUND BECAUSE HE WAS NOT ABLE TO CLR THE RWY IN TIME. WE MADE A L TURN AND JOINED THE L DOWNWIND FOR RWY 23. A PHONE CALL TO THE BEDFORD TWR SUPVR CONFIRMED THAT THE CTLR HAD USED IMPROPER RADIO PROCS. HE WAS VERY SORRY THAT THIS INCIDENT HAD OCCURRED.