As a backplate for a chuck, there is no reason why the hole needs to be blind. So the thread can pass right through, making life so much simpler..
Having cut the thread, and measured the diameter, and depth, of the register on the Mandrel, the backplate can be screwed onto the mandrel in reverse, so that the register can be accurately bored into it.
Once this has been done, the backplate can be screwed on to the mandrel in the normal way. It is now ready for the O D to be turned to the size needed to provide an accurate fit in the chuck. Once this has been done the backplate can be faced so that its face is square to the axis of the mandrel, and is the correct thickness for the chuck in question.
The only job remaining is to mark out and drill the holes for the fixings..
Chuck and backplate can then be united and used a s complete unit.
Howard