CTLR RPT REGARDING CLOSE PROX OF ACR AND LIGHT TWIN MANEUVERING CLOSE TO BUSY ARPT AREA. TCASII ALERT ACTIVATES ON ACR. CLOSE PROX OF TFC. TRAINING CLOSE TO ACTIVE ARPT.

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THE ACR BA46 ACFT WAS DSNDING OUT OF 4700 FT TO 4000 FT FOR A VISUAL APCH TO RWY 17. APPROX 9 NM W OF THE ARPT; THE BA46 RPTED A TCASII ALERT. I TURNED MY ATTN TO HIM AND SAW A VFR TARGET INDICATING 4100 FT MSL COVERED BY DATA TAGS. I RPTED THE TFC TO THE BA46 WHO THEN RPTED A TCASII RESOLUTION TO CLB. HE THEN CLBED TO APPROX 4700 FT MSL AND RPTED THE ACFT TO BE A LIGHT TWIN ENG. HE THEN RPTED THAT HE PROBABLY WOULD HAVE COLLIDED WITH THE TWIN WITHOUT THE CLB. THE BA46 CONTINUED FOR THE VISUAL APCH AND LANDED. FURTHER INVESTIGATION SHOWED THE TWIN WAS A PA44 TRAINER PRACTICING MANEUVERS; NOT RADAR IDENTED AND NOT TALKING TO ATC. I WAS WORKING WITH 12-15 ACFT ARRIVING AND DEPARTING FROM MYR; CRE; HYW; CPC; AND GGE ARPTS. SEVERAL ACFT WERE ALSO REQUESTING FLT FOLLOWING. BECAUSE OF THE CONCENTRATION OF TFC AROUND THE ARPT I WAS UNABLE TO SEE THE VFR TARGET UNTIL ADVISED OF THE TCASII ALERT. ALTHOUGH CLASS C AIRSPACE WAS REQUESTED MORE THAN 3 YRS AGO AND HAS BEEN APPROVED; IT HAS STILL NOT BEEN IMPLEMENTED. HAD THE CLASS C BEEN IMPLEMENTED; THE PA44 WOULD HAVE BEEN RADAR IDENTED OR WOULD HAVE PRACTICED IN A LESS CONGESTED AREA; THUS AVERTING THIS INCIDENT. I HIGHLY RECOMMEND THAT TRAINING ACFT REMAIN IN AREAS WELL REMOVED FROM ATA'S OR AT LEAST NOTIFY ATC OF THEIR PRESENCE.