Having flown a fair few RNAV final approaches, I'd say that if it was GPS driven and you had one or other threshold positions, you'd be in with a fair chance of putting it on the runway not a million miles from the normal TDZ.
You could either follow lateral director commands and calculate a glideslope using range/height or quickly bash an approach into the FMC and use vertical guidance as well. Do the flare on the radalt and continue tracking until you stop - should be good for Cat IIIb no DH, if it's that or crash & burn.
It'll certainly contain the wreckage within the airfield boundary where the emergency services can come and get you...