i have a 12" radius on my roxbury. it works on that guitar because of the size of the neck. the strat, having a smaller neck, would probably play better with the smaller 9 1/2" raidus.
i'm no expert of course, just my best guess. i think if it were me, and i wanted to try it, i would source another neck from flea bay or craig's list, and try it with that so i could always go back if i wanted.