Re: Getting rid of the locking nut....
I suppose going for a traditional nut, wont be too big a problem. But the 'footprint' of the locked floyd nut is way bigger. Also, make sure that the break-over (fulcrum) string position is precisely in the same/correct place, or else your whole tuning/intonation/function of your axe will go for a ball...
Also, hopefully the body routings are good for strat-trad trems. Also, be sure that your fretboard radius is good for conversion. Mine is very flat. Is this true for strats with floyds too? Will your pickups be spaced and height adjustable for the conversion? Also you say SSS, that's a big general overhaul. Wiring, trem, nut, pups, string trees and whatnot. Maybe buy a whole new Strat?