At the risk of teaching granny to suck eggs.
You don't hold the Piston in the chuck to face off the crown.
You make a dummy Gudgeon pin, with a radial / diametral tapping on the centreline.
You then turn up a stepped "bung to be as close a fit as possible to the bore at the bottom of the piston, and drill it to clear a drawbar with the same thread as in the dummy Gudgeon pin. Having done this do not disturb anything..
Insert the dummy Gudgeon Pin, place the Piston on the "bung and clamp it in place with the drawbar. It should now run concentric, so that the crown can be faced off to reduce the compression height of the piston to the correct dimension above or below the top of the liner.
Howard