Don't know the answer to your socket question, but why not use your old nuts until you are ready to put the wheels on for the last time.
Last minute thought, could you take a 15/16" socket and have it powder coated? that might do the trick.

1953 Chevrolet 3600
Fried Green T'mater (Vern)
In the Stovebolt Gallery
Caution: Political Statement
Man who runs in front of car gets tired, man who runs behind car gets exhausted.