" now turn on the switch and watch it wobble like crazy at the tip! "
Who says you can`t drill an Oval hole.

From the pictures Andy posted, it looked like he has a Jacobs Chuck,on his press.I recall Those, as being one of the best..MayBe the 6 sides, on the phillips screw tip ,help to keep it running true ,too,plus it`s very short,and stubby,and can`t really flex much..Just ,something else to wonder about.