OK, first off. Are you an electrician???
A real electrician would NEVER, EVER, even consider bootlegging a ground by "looping wire from ground screw on recepticle, to neutral". This is a very basic thing.
Also, running a ground wire as opposed to re-wiring is a hack job IMO. It is just as easy to re-wire as it would be to run a single ground wire. Every box would have to be accessed and opened in either case.
If you did run just a ground wire where would you run it to?