You might visit your local library and search the ceramic "how-to" books. Many of them give a wide range of information, including recipes for glazes. Perhaps one will explain how to build your own wheel. Check the table of contents and indexes of the books to zero in on potter's wheels. It will help you find out quickly what the book covers.
If you don't find anything, ask the librarian to request material on Interlibrary Loan. Be specific about what you want. "I want directions for construction a motorized potter's wheel." rather than "do you have any books on throwing pots?"
As for using a lazy Susan, the idea sounds good on the surface, but the lazy Susans I've seen are far smaller and lighter weight than any potter's wheel I've used. The ones we had in the art department were easily 3 feet across, two inches thick, and motor driven. (Who what's to power a wheel by hand and keep it spinning fast enough to throw a pot?)
If you decide to build your own, you might visit places that have good wheels and see how they are made. Check with your local craft shops and colleges and universities. It's possible the art instructor at a school can give you pointers on wheel construction.
BSE in Art; MLS in Library Science