You want the full range of movement the adjusters will allow. Remove the chuck from the back plate as Bamban said, then measure the travel on each of the adjusters. Basically, just retract the pin fully and then extend it fully and measure that travel. That gives you the range of each pin. Then turn the snout of the backplate down to allow for that much clearance.
For example, say each adjuster allows for 0.040" of range. The snout OD should at least 0.020" smaller than the ID of the cavity in which the snout resides. That allows the snout that full range of travel. Ideally, the bolts that hold the chuck to the back plate will also allow that much travel.
If you have a tap and die for the adjusters, clean the threads for the screws.