I thought there
had to be an easier way, to make a small tap wrench.

I was right!

Buy one of these.......
Finger & Thumb Tap Wrench.Press the little black button and take off all these bits n pieces.....
Finger & Thumb Tap Wrench.After turning the (soft) ratchet section away, polishing the 7mm shank & loctiting a little knurled flange......
Yer left with one of these......
Finger & Thumb Tap Wrench.Works a treat!

Finger & Thumb Tap Wrench.David D