A B757 PIC RPT ON A POTENTIAL CONFLICT AND 2 PLT ACFT WORKLOADS DURING INCLEMENT WX CONDITIONS.

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ON APR/TUE/98; FLT WAS FLYING FROM DCA TO ATL. BECAUSE OF WX IN THE ATL AREA WE HAD TO HOLD. LATER WE MADE A DECISION TO DIVERT TO TYS FOR FUEL. ATC CLRED US DIRECT TO TYS. AS WE APCHED THE TYS AREA FROM THE S; THERE WAS A TSTM SE AND AN AREA OF RAIN NEAR THE ARPT TO THE SW. TYS APPEARED TO BE N OF THE WX. ON R DOWNWIND TO RWY 23 WE HAD THE RWY IN SIGHT. A RAIN SHOWER WAS VISIBLE SW OF THE ARPT. ON BASE LEG THE TWR INFORMED US THAT A PREVIOUS ACFT HAD RPTED WINDSHEAR AND HAD GONE AROUND. WE TOOK PRECAUTIONS AND CONTINUED THE APCH VISUALLY. AT AROUND 1500 FT WE RECEIVED A WINDSHEAR WARNING AND INITIATED A STANDARD RECOVERY (WINDSHEAR RECOVERY PROC) FOLLOWED BY A MISSED APCH. THE WINDSHEAR WARNING WAS BRIEF IN DURATION. ON THE MISSED APCH; APCH CTL GAVE US A VECTOR THAT WOULD HAVE SENT US BACK INTO AN AREA OF RAIN SHOWERS. WE TURNED PART WAY AND ATTEMPTED TO CONTACT APCH TO LET THEM KNOW WE COULD NOT FLY THE HEADING AS ASSIGNED. WE WERE VERY BUSY AT THE TIME AND IT WAS DIFFICULT TO TALK TO APCH CTL BECAUSE OF OTHER RADIO XMISSIONS. WHEN WE FINALLY WERE ABLE TO CALL APCH; THEY GAVE US A NEW HEADING TO FLY. ABOUT THIS TIME WE RECEIVED A TCASII TA. THE OTHER ACFT FLEW BEHIND AND BELOW US. I'M NOT SURE; BUT THERE MAY HAVE BEEN A LOSS OF LEGAL SEPARATION. AS I SAID; WE WERE VERY BUSY. BECAUSE OF THE WX ENCOUNTERED IN AND AROUND TYS; COUPLED WITH THE WINDSHEAR AND MISSED APCH WE WERE NEARING MINIMUM FUEL RESERVES. I DECLARED A FUEL EMER. SHORTLY THEREAFTER; WE FLEW ANOTHER VISUAL APCH AND LANDED ON RWY 23R. WE ARRIVED AT THE GATE WITH 5700 LBS OF FUEL. AS A FLC WE NEVER REACHED THE LIMIT OF WHAT WE COULD HANDLE VIS A VIS WX AND CONTINGENCY PLANNING. HOWEVER; WE WERE STARTING TO APCH THE LIMITS. I THINK MORE RESEARCH NEEDS TO BE DONE ON HOW TO BEST SUPPORT 2-PLT CREW ACFT. RECEIVING TIMELY AND ACCURATE INFO REGARDING FIELD CONDITIONS AND DIVERSION INFO IS VERY DIFFICULT WHEN THE CREW HAS TO INITIATE THE REQUEST FOR INFO. IT JUST TAKES TOO MUCH TIME. IN A RAPIDLY CHANGING SIT TIME IS ONE THING WE DON'T HAVE A LOT OF. 2-PLT CREWS ARE FINE AS LONG AS EVERYTHING IS NORMAL. BUT; THROW IN AN ABNORMAL BE IT MECHANICAL OR WX RELATED OR ANYTHING ELSE FOR THAT MATTER; AND THE 2-PLT CREW QUICKLY BECOMES EXTREMELY BUSY.