B757-200 CREW TAXIED THE WRONG WAY ON A 1-WAY TXWY AT BNA.

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GND HAZARD -- SIGNAGE POOR AT THE BNA ARPT. THERE ARE TXWYS THAT ARE PUBLISHED AS 1 DIRECTIONAL; AND 1 TXWY PUBLISHED AS '1-WAY ONLY.' THIS IS UNIQUE TO THIS ARPT (GND CTL COULD HELP BY STATING 'CONNECTOR AVAILABLE OR NOT.' (THE CONNECTOR APPEARS TO BE PART OF THE RAMP WHILE TAXIING.) THE TXWY HAS NO LETTER; BUT IS CALLED A 'CONNECTOR' ON THE CUSTOM ACR TAYLORED CHART. IT IS THE ONLY 1-WAY 'DO NOT ENTER' TXWY I CAN REMEMBER AT ANY MAJOR ARPT. EVEN AFTER BRIEFING FOR SUCH A HAZARD; WE PLANNED AN ALTERNATE TAXI RTE (RWY 2L) AND WERE GIVEN CLRNC TO TAXI VIA THE RAMP TO RWY 31 (NO GND CTL SAYING SOMETHING LIKE 'CONNECTOR AVAILABLE; NOT AVAILABLE.'). WHILE READING CHKLIST; WE TAXIED USING THE CONNECTOR; NOT REALIZING IT UNTIL AIRBORNE QUESTIONS BY OURSELVES. NO CALL FROM GND. JUST A NATURAL; DIRECT ROUTING TO RWY 31. SIGNAGE LOW AND NOT IN KEEPING WITH NORMAL ARPT SIGNAGE. FLASHING LIGHTS WOULD HELP; GND CTL COULD HELP. (ONLY 2 ACFT TAXIING AT THAT TIME ON WHOLE ARPT.) NOTE: THERE WAS NO CONFLICT WITH ANY OTHER ACFT. CALLBACK CONVERSATION WITH RPTR REVEALED THE FOLLOWING INFO: THIS WAS ONLY THE SECOND TIME THE CREW HAD BEEN TO BNA. THE CREW HAS NOT EXPERIENCED THIS LEVEL OF TXWY COMPLEXITY AT ANY OTHER ARPT; ATL AND ORD INCLUDED. WITH ONLY 1 OTHER ACFT MOVING ON THE ARPT; THE RPTR WONDERS WHY THIS LEVEL OF COMPLEXITY AND INFLEXIBILITY IS NEEDED. HE SUGGESTS THE REMOVAL OF THE 1-WAY AREAS AND REPLACE IT WITH GND CTLR COMMON SENSE.