Do you have access to a hobby store, a large toy store, lab supply
house, etc. that would have small laboratory equipment? In the US lab
equipment or toy lab equipment is found in many place like mentioned.

These are also available through some online websites for store like
mentioned above.

If so you should be able to buy a stirring motor that is exactly like
you are trying to build. Probably less than the materials you are
looking for. This is especially true if you consider the time you are
spending looking for and buying the materials.
Keith Nuttle

Like this?
http://www.labsafety.com/lab-equipme...280STI RRERSA

Used them in chemistry for decades. Only thing missing back then was
the heater to keep the coffee hot.