Finally I have summarized all in a Blender script. (Added as files for this project)

This create a worm drive (screw and gear) and a nut if you only need screw and nut. You can adjust some usefully tolerances too.

Don't use the addon in your scene. Load this file in another empty scene.
I still need to put a picture on addon to facilitate more comprehension.

The scene have a can of soda to have dimensions reference too.

Enjoy it ;)

Note: This need "Extra Objects" addon