THE OMAHA WEATHER WAS REPORTED (IN PART) TO BE 3500 FT SCATTERED, ESTIMATED 6000 FT BROKEN, 18000 FT BROKEN, VISIBILITY 4 MI WITH FOG AND HAZE, WIND 200 DEG AT 5 KTS. HOWEVER, THE AIRCREW OF A PRECEEDING FLIGHT THAT ARRIVED ABOUT 8 MIN EARLIER SAID THEY ENTERED A CLOUD LAYER DURING DESCENT AT OR ABOVE 3500 FT. THEY STATED THAT THEY REMAINED IN THE CLOUDS UNTIL THEY WERE ON FINAL AT AN ALTITUDE OF 600 TO 800 FT AGL. DURING ARRIVAL, N2906A WAS VECTORED AND CLEARED FOR AN ILS APPROACH TO RUNWAY 14R. HOWEVER, IT WAS HIGH ON FINAL AND A MISSED APPROACH WAS MADE. THE PILOT ENTERED A RIGHT VISUAL PATTERN AND WAS CLEARED TO LAND, BUT THE AIRCRAFT CRASHED ABOUT 300 FT SHORT AND 300 FT LEFT OF THE RUNWAY. AN INVESTIGATION REVEALED THE PLANE CRASHED IN AN ESTIMATED 20 DEG NOSE DOWN, 68 DEG RIGHT BANK ATTITUDE. A CONTINUITY CHECK OF THE FLIGHT CONTROLS WAS NOT POSSIBLE, BUT ALL FAILURES DISPLAYED EVIDENCE OF OVERLOAD/IMPACT FAILURE. AN INSPECTION OF THE ENGINES REVEALED NO PREIMPACT FAILURE OR MALFUNCTION.