Those are good pictures. I'm at a loss on this other method as I don't know anything about it , anybody else?
A standard tap is all I know.As a last resort... If I had to do it by my self. I guess I would rotate the wheels to see if the gear would move to allow more room for a better spot, or else mark the tap I used to keep from going into the gear, go as far as I could, back out and carefully cut the narrower tap end off without damaging the thread cutters left,so I could run the fatter thread cutter's centerr farther on .. Risky yes, but then also I would search for more possibilities first .. Good Luck ! bordercollie