THERE WAS HVY TRAFFIC WHEN THE PLT OF N1946M CONTACTED ANCHORAGE (ANC) INTL TWR FOR LNDG INSTRNS AT THE LAKE HOOD STRIP.ANC TWR CTLD TRAFFIC AT THE NRBY LAKE HOOD STRIP & LAKE HOOD SEAPLANE BASE, AS WELL AS AT THE ANC INTL ARPT. THE WND AT LAKE HOOD HAD BEEN VARIABLE. JUST BFR THE PLT ASKED FOR LNDG INSTRUCTIONS, THE WND WAS FM 300 DEG AT 8 KTS. THE PLT WAS TOLD TO PLAN FOR A LNDG ON RWY 31. AS ACFT ARRD FOR LNDG, THE CTLR GAVE WND INFO ONLY WHEN THE PLTS REQD IT OR WHEN THE WND SHIFTED. THE PLT OF N1946M DID NOT REQ WND INFO; HOWEVER, AT 1657:55, THE CTLR MADE A TRANSMISSION TO ALL ACFT THAT LAKE HOOD ATIS INFO DELTA WAS CURRENT & THAT THE WND WAS FM 130 DEG AT 9 KTS. APRX 50 SEC LATER, HE CLRD N1946M TO LND ON RWY 31. THE ACFT WAS HI ON FINAL APCH. SUBSEQUENTLY, IT TOUCHED DWN ABOUT HALFWAY DWN THE 2200' GRAVEL STRIP. THE PLT WAS UNABLE TO STOP ON THE REMAINING RWY AREA. THE ACFT CONTD OFF THE END & NOSED OVR ON SOFT, WET TERRAIN. THE PLT RPRTD HE WAS NOT AWARE THERE WAS A TAIL WND UNTIL AFTER THE MISHAP.