SMALL SINGLE ENG ACFT ON PRACTICE GPS APPROACH TO RUNWAY 13 AT BAZ EXPERIENCED A NMAC WITH OVERFLYING VFR SMALL SINGLE ENG ACFT THAT WAS INSTRUCTED TO FOLLOW; ATC ISSUING CORRECTIVE ACTION.

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THE MISSION WAS PLANNED AND BRIEFED AS A TRAINING FLT WITH COMMERCIAL PTS MANEUVERS TO BE PRACTICED IN THE NE PRACTICE AREA OF BAZ; FOLLOWED BY 2 INST APCHS AT HYI AND A GPS APCH AT BAZ. WE HAD PLANNED PATTERN WORK ON SHORT AND SOFT FIELD LNDGS AND TKOFS. THE FIRST PART OF THE FLT WAS AS BRIEFED. WE THEN PROCEEDED VFR TOWARD MARNE FOR A PRACTICE GPS TO RWY 13 AT BA2. INITIAL SEGMENTS OF THE APCH WERE UNEVENTFUL. APCHING MARNE; WE CHKED IN WITH BAZ TWR (APPROX 12 MI OUT). THEY INSTRUCTED US TO CALL WUGHE (FAF). WHILE INBOUND; WE HEARD ANOTHER ACFT CHK IN FOR PATTERNS. WE WERE APPROX 1.5 MI OUTSIDE WUGHE WHEN TWR ASKED FOR OUR POS. WE RESPONDED AND WE WERE CLRED FOR A TOUCH AND GO. IMMEDIATELY AFTER; TWR CLRED THE TWIN TO LAND; #2. THERE WAS NEVER AN ACKNOWLEDGEMENT IF HE HAD #1 IN SIGHT. WE CONTINUED THE APCH. JUST INSIDE THE VDP (1.7 NM); WE LOOKED UP AND SAW AN ACFT PASSING ALMOST DIRECTLY ABOVE AND IN FRONT OF US. I WOULD ESTIMATE HE WAS WITHIN 100 FT OF US. I DEFINITELY CONSIDERED HIM TO BE A HAZARD. TWR SAID HE WAS RIGHT ON TOP OF US AND HE STARTED A R CLBING TURN SHORTLY AFTER THAT. WE TOOK NO EVASIVE ACTION AS THE COLLISION DANGER WAS PAST WHEN WE SAW THE TWIN. TWR ASKED HIM IF HE HAD SEEN US; AND HE RESPONDED THAT HE HAD NOT. TWR AGAIN CLRED US FOR TOUCH AND GO. WE COMPLETED A TOUCH AND GO AND FLEW 1 MORE PATTERN TO THE FULL STOP.