INSTRUCTOR CTLR AT BNA APCH CLAIMS THAT BECAUSE OF A NOISY CTL ROOM; HE WAS UNABLE TO HEAR THE TRAINEE OR THE ACFT XMISSIONS.

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ACFT X CALLED BNA 119.35. I WAS TRAINING A CTLR. IT WAS BUSY WHEN THIS KING AIR (ACFT X) CALLED OFF JWN TO TYS AND WANTED TO CLB TO 11500 FT OR 13500 FT. THE TRAINEE TOLD THE ACFT TO REMAIN OUTSIDE THE CLASS C AIRSPACE AND SQUAWK A CODE I COULD NOT DISCERN; BUT ENDED UP BEING THE ALTIMETER SETTING. THERE WERE NUMEROUS PEOPLE MULLING AROUND IN LOUD CONVERSATION AND I COULD HARDLY HEAR THE ACFT OR THE TRAINEE. THE ACFT WAS GIVEN A LCL VFR CODE ON ABOUT THE BNA 220 DEG RADIAL; 005 DME. THERE WAS A SBOUND DEP THAT WAS GOING TO BE A CONFLICT WITH THE KING AIR WHOSE MODE C WAS AT 2100 FT. THE TRAINEE CLBED ACFT TO REQUESTED ALT AND SAID PROCEED ON COURSE. I SAID 'NO; NO; NO' TO THE TRAINEE AND INSTRUCTED TO TURN THE ACFT SBOUND AS IT WOULD BE A CONFLICT FOR RWY 20L DEPS. THERE WAS NO TIME TO POINT THE ACFT OUT TO LCL CTL AND HE WAS NOT ADVISED RADAR CONTACT. I REQUESTED TO LISTEN TO THE TAPE BECAUSE I COULD NOT HEAR WHAT WAS GOING ON WITH ACFT XMISSIONS AND THE TRAINEE'S XMISSIONS. DURING THIS I WS ALSO QUESTIONED BY SUPVR ABOUT BREAKING OUT AN ACR FLT. THESE DISTRS ABOUT MADE WORK IMPOSSIBLE. I WAS LATER ADVISED THAT THIS KING AIR WAS SUPPOSEDLY VECTORED BELOW THE MVA. THE KING AIR WAS IN CTLED AIRSPACE AND NEVER TOLD RADAR CONTACT. THIS WAS NOT OF MY KNOWLEDGE. OVERALL; THIS ACFT WAS NOT IN A GOOD SIT ON HIS OWN ACCOUNT AND NOT MUCH ATC COULD DO BUT TURN TO AVOID CONFLICT. THE MSAW ALSO NEVER ALARMED AND ACFT X WAS AT 2100 FT; THE MSA.