That’s what I do also. Center punch tang and trigger plate. Set it up in the drill press with the jig and drill a pilot hole through the metal tang, flip it over, and drill pilot hole in trigger plate.
Flip it back again so tang is up, drill tap drill size through tang and stop when it contacts trigger plate. Flip it over, reposition on spike and drill through trigger plate.
Switch to clearance drill bit, set it up on jig again so tang is up and drill through tang and most of the wood wrist, being careful not to go into trigger plate. Remove the trigger plate and the little wood remaining can be hand drilled.
Bob