G1159 CREW CROSS AN ACTIVE RWY WHILE FOLLOWING A VERY COMPLICATED RTE TO THEIR ASSIGNED RWY AT NIGHT.

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TAXI CLRNC WAS TO FOLLOW TXWY S5 NW TO RWY 3R; TAXI NE ON RWY 3R TO HOLD SHORT OF THE ACTIVE RWY 27R. DURING TAXI AT NIGHT; RWY 3R WAS GIVEN DUE TO CONSTRUCTION ON TXWY W. BEING UNFAMILIAR; WE ASKED THE GND CTLR INITIALLY FOR DIRECTIONS. HE WAS VERY BUSY AND THERE WERE COMMENTS ON THE FREQ ABOUT COMPLICATED TAXI RTES DUE TO TXWY CLOSURES AND THE CTLR DID NOT SEEM TO BE CLR AND HELPFUL TO TAXIING ACFT. AFTER TURNING NE ON RWY 3R; WE SAW NO INDICATIONS TO IDENT THE LOCATION OF RWY 27R (NO HOLD LINES OR RWY SIGNAGE) AND WE NOTICED THAT WE WERE FOLLOWING ANOTHER ACFT IN FRONT OF US. WE COULD NOT TELL AT THAT TIME THAT THE ACFT THAT WE WERE FOLLOWING WAS ON THE N SIDE OF THE ACTIVE RWY UNTIL WE WERE TOO FAR INTO THE INTXN TO STOP. WE NOTICED AT THAT TIME AN ACFT HOLDING IN POS FOR TKOF; SO WE CONTINUED ACROSS THE RWY TO GET CLR. AT THAT TIME THE CTLR NOTICED THE INCURSION AND ASKED US TO CONTACT THE TWR SUPVR. WE SHOULD HAVE PESTERED THE GND CTLR UNTIL HE HAD TIME TO HELP US WITH OUR TAXI PROGRESS.