NMAC IN PROX OF NON TWR ARPT UNICOM FSS.

Narrative

BOTH MYSELF AND ANOTHER PLT FLYING A BE35 WERE APCHING CRESTVIEW ARPT (CRESTVIEW; FL) FROM THE SAME DIRECTION (NW) AFTER BEING HANDED OFF BY EGLIN APCH CTL. I WAS VFR AND THE BE35 WAS IFR; ALTHOUGH THE WX WAS GOOD VFR AT THE TIME. WE WERE BOTH ISSUED TA'S BEFORE BEING GRANTED FREQ CHANGES TO THE LCL TA. AT THIS TIME NEITHER ACFT HAD THE OTHER IN SIGHT. THE BE35 WAS NOT IN MY LINE OF SIGHT UNTIL JUST BEFORE I WAS TO ENTER XWIND AT PATTERN ALT ABOUT A MI NW OF THE ARPT. AT THIS TIME I WAS APPROX 500 FT BELOW HIM AND 200 FT HORIZLY IN FRONT (BOTH PLANES WERE IN EACH OTHER'S BLIND SPOT) STILL DSNDING AND MOVING AT A FASTER RATE. AT THIS POINT; IN THE INTEREST OF THE SAFETY OF BOTH ACFT I STARTED A DSCNT AND ENTERED A R BASE INSTEAD OF A L XWIND IN ORDER TO AVOID A POTENTIALLY DANGEROUS SIT. AT THIS TIME I NOTIFIED THE OTHER ACFT OF MY POS. UP TO THIS POINT I HAD BEEN UNABLE TO DO SO DUE TO RADIO CONGESTION. BOTH ACFT LANDED SAFELY AND WITHOUT INCIDENT. UPON FURTHER REFLECTION; I BELIEVE THIS SIT COULD HAVE BEEN AVOIDED BY BETTER COM BTWN BOTH ACFT AND/OR BETTER VECTORS FROM APCH CTL.