PLT IN C172 ENRTE FROM ACT TO CLL REQUESTS VOR DME TO RWY 28 CIRCLE TO RWY 16. DURING THE APCH AND MANEUVER; THE PLT SPOTTED AN E120 BRASILIA AND BELIEVED STANDARD SEPARATION HAD BEEN COMPROMISED.

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WHILE ENRTE FROM WACO (ACT); I MADE A REQUEST TO ARTCC FOR THE VOR/DME RWY 28 APCH INTO CLL AS OPPOSED TO THE BACK COURSE RWY 16 APCH WHICH WAS IN USE. THE DSCNT FOR THIS APCH WAS THROUGH A CLOUD LAYER. MY FINAL VECTOR AND APCH CLRNC ALLOWED ME TO DSND BELOW THE CLOUDS INTO VFR CONDITIONS. AS I DSNDED THROUGH THE BROKEN/SCATTERED CLOUDS; I VISUALLY ACQUIRED THE ACR Y BRASILIA. NO TFC CALLS WERE MADE TO ME CONCERNING THIS ACFT. MINIMUM IFR SEPARATION WAS NOT PROVIDED BY ARTCC. IN MY INITIAL REQUEST FOR THE VOR DME RWY 28 APCH; I SPECIFIED THAT I WANTED TO CIRCLE-TO-LAND RWY 16. ZHU ADVISED CLL TWR THAT I DESIRED A 'W MISSED.' TWR DELAYED AND HESITATED WHEN I REQUESTED THE CIRCLE. MY CIRCLE-TO-LAND WAS AUTH TO RWY 22. THIS ONCE AGAIN BROUGHT ME 'CLOSE' TO THE BRASILIA WHO BY THIS TIME WAS ON SHORT FINAL TO RWY 16. SPACING WAS ADEQUATE; BUT NEEDED IMPROVEMENT. I HAVE REVIEWED THE AUDIO TAPES WITH THE MGR OF CLL TWR AND REQUEST THAT YOU DO THE SAME IN ADDITION TO RADAR TAPES FROM ZHU. I FEEL THAT I WAS NOT PROVIDED WITH ACCEPTABLE SVC FROM EITHER FACILITY. I FEEL THAT ON THE ZHU MISTAKE; A SHIFT CHANGE WAS TO BLAME. ALSO; ON THE COLLEGE STATION PORTION WAS A RESULT OF TWR OPERATING BOTH UHF/VHF TWR FREQS IN ADDITION TO GND CTL. SHE WAS WORKING SEVERAL ACFT AND GND VEHICLES WHICH CONTRIBUTED TO AN UNDUE WORKLOAD.