PA28 BACK-TAXIING AFTER LNDG AT 4J6 ENCOUNTERS BE58 LANDING STRAIGHT IN DIRECTLY AT THEM. FORTUNATELY STOPPING SHORT OF THEIR POSITION. REPORTER ALLEGES NO CTAF TRANSMISSIONS BY BE58 PLT.

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WE DEPARTED FOR A PLEASURE FLT TO 4J6. WE REQUESTED AND RECEIVED RADAR ADVISORIES THROUGH JACKSONVILLE'S CLASS C AIRSPACE UNTIL ADVISING ST MARY'S IN SIGHT AND BEING CLRED TO SQUAWK 1200 AND SWITCH TO THE LCL CTAF FREQ 122.8. BEFORE LETTING US GO; JAX APCH CTLR ADVISED US THAT THERE WAS A BARON AT OUR 6 O'CLOCK POS; ALSO INBOUND TO ST MARY'S WHO WAS 'FASTER' THAN US. WE SAW HIM ON OUR TIS SYS AS BEING APPROX 4 NM BEHIND US; 1500 FT ABOVE. WE CONTINUED TO 4J6; MAKING CALLS ON THE ADVISORY FREQ AS TO OUR INTENTIONS. UPON ARRIVING AT THE AIRFIELD; WE OVERFLEW AT MIDFIELD; CHKED OUT THE WINDSOCK (VERY LIGHT WINDS FROM THE E) AND ENTERED A L DOWNWIND TO RWY 4; MAKING POS RPTS ON 122.8 AS WE FLEW THE PATTERN. WE DID NOT SEE THE BARON IN THE TFC PATTERN. WE LANDED A BIT LONG ON RWY 4 AND ROLLED OUT. THEN; SINCE THERE ARE NO TXWYS TO EXIT INTO AT THE DEP END OF RWY 4; WE ANNOUNCED OUR INTENTION TO BACK-TAXI ON RWY 4. WHEN WE TURNED; WE SAW THE BARON ON SHORT FINAL FOR THE RWY -- HEADED DIRECTLY AT US. APPARENTLY; HE HAD MADE A LONG; STRAIGHT-IN APCH FOR THE RWY. I ANNOUNCED ON THE CTAF 'BARON LNDG RWY 4 AT ST MARY'S; GO AROUND!' HE DID NOT. WE TURNED AND 'RAN AWAY' BACK TOWARDS THE DEP END OF THE RWY' AND PULLED AS FAR TO THE L SIDE AS POSSIBLE. LUCKILY; HE LANDED FAIRLY SHORT AND CAME TO A STOP AT LEAST 1000 FT BEFORE US ON THE RWY. THEN; HE TURNED AND BACK-TAXIED TO THE RAMP. WE FOLLOWED HIM AND PARKED. WE HAD NEVER HEARD HIM MAKE A SINGLE POS RPT ON THE CTAF (BUT HE DEFINITELY HAD A RADIO BECAUSE WE HEARD HIM TALKING TO JAX APCH) AND HE OBVIOUSLY DID NOT NOTICE THAT THERE WAS AN ACFT ON THE RWY WHEN HE DECIDED TO LAND.