THE FLC OF A BAE 3200 COMMUTER FLT NARROWLY MISSES A C337 WHICH IS ENCOUNTERED ON ITS TKOF ROLL ON THE SAME RWY; OPPOSITE DIRECTION AT ZZZ; US.

Narrative

AT THE TIME OF DEP; ZZZ IS A NON TWRED FIELD. WE MADE ALL CALLS ON THE CTAF INCLUDING; 'TAXIING TO RWY X;' 'TAKING RWY X;' AND 'ON THE ROLL RWY X.' WE RECEIVED OUR IFR CLRNC AND RELEASE FOR DEP FROM CENTER. THE RWY HAS A RISE IN THE CENTER SO THAT ONE EXTREME IS NOT VISIBLE FROM THE OTHER. ON THE TKOF ROLL AT ABOUT 80 KTS; WE REALIZED THAT AN ACFT WAS ALSO TAKING OFF STRAIGHT AT US IN THE OPPOSITE DIRECTION. WE ABORTED THE TKOF AND VEERED TO THE RIGHT. THE OTHER ACFT ALSO ELECTED TO VEER TO HIS RIGHT SO THAT THE ACFT PASSED EACH OTHER LEFT TO LEFT WITH ABOUT 50 FT OF HORIZONTAL CLRNC. WE RETURNED TO THE GATE AND DISEMBARKED PAX FOR A TIME TO DEBRIEF; IF POSSIBLE. THE CESSNA WAS OBSERVED TO DEPART ZZZ AND WAS NOT ANSWERING QUERIES ON UNICOM (CTAF). IS THERE ANY WAY THE TWR HOURS OF OPERATION CAN BE EXTENDED TO COVER THE DEP AND ARRIVAL OF THE SCHEDULED AIR CARRIER? SUPPLEMENTAL INFO FROM ACN 523607: ARPT HAS A PART TIME TWR WHICH OPENS AT XB00 LOCAL. INCIDENT OCCURRED AT XA20 LOCAL TIME; SO AIRSPACE WAS CLASS G; UNCTLRED. RECEIVED IFR CLRNC FROM CENTER DURING TAXI. THE CESSNA ALSO ABORTED THE TKOF AND WE PASSED EACH OTHER LEFT WING TO LEFT WING; WITH ABOUT 50 FT CLRNC; CLOSURE RATE AROUND 40 KTS. THE C337 CONTINUED DOWN THE RWY; TURNED AROUND AT THE END; AND TOOK OFF FROM RWY X. WE WERE UNABLE TO GET IT'S N NUMBER.