DRG ARRIVAL, AT 0540:31, THE CAPT WAS CLRD FOR AN RNAV RWY 5 APCH & WAS TOLD TO CONTACT LONDON FSS ON 121.6 MHZ, 'NOW.' HOWEVER, HE DID NOT MAKE THE RADIO CALL UNTIL APRX 3 MIN LATER. THE ACFT BROKE OUT OF THE WX AT ABOUT 1000' & 1 MI FM THE ARPT (BEFORE THE RADIO CALL). AT THAT TIME, THE RWY LIGHTS WERE NOT ON. THE CAPT THEN ADVISED THE FSS TO TURN ON THE RWY LIGHTS & HE MADE A LEFT PATTERN TO CIRCLE BACK & LAND. DRG THE NEXT APCH, THE ACFT WAS HI & FAST ON FINAL APCH & TOUCHED DOWN LONG. THE 1ST OFFICER RECOMMENDED THAT THE CAPT MAKE A GO-AROUND, BUT THE CAPT ELECTED TO CONT THE LNDG. WHEN THE CAPT REALIZED THAT HE WOULD NOT BE ABLE TO STOP ON THE REMAINING RWY, HE RETRACTED THE GEAR. THE ACFT THEN SLIDOFF THE END OF THE RWY, WENT OVR AN EMBANKMENT, BECAME AIRBORNE FOR ABOUT 140', THEN IMPACTED IN A LARGE RAVINE AREA. THE WEIGHT MANIFEST WAS FND TO BE IN ERROR. AFTER ALLOWING FOR A 500 LB FUEL BURN-OFF, THE LANDING WEIGHT WAS ESTIMATED TO BE 14,668 LBS. THE MAX GROSS WT LIMIT WAS 14,500 LBS.