Just checked in with Larry Korn, who lived with Fukuoka for 2 years.
He writes "That's pretty much what I would have said. It helps if you add a little fine
compost into the seedballs, maybe some lime if appropriate. Yes, it's best if you use clay from nearby, but not absolutely necessary. If you have trouble finding powdered clay you can always buy it at a potter's supply store.
There is another method, of course using wet clay. You mix it with the seeds then push it through chicken wire. Let it dry for a little while then roll it into little balls. Then let them dry out completely before sowing them."
Unless your flat without it, I'd use local clay from the ground. Perhaps getting in the car and buying mined clay is the only option you have, or the more practical one. With local clay, you can dry it and grind it through a scree to get it powdered.
Igoing to tru the wet clay method next time around. Fukuoka uses a cement mixer and carefully added the clay, compost and seeds, and the turned into little balls by being rolled in the machine. there are vids of this somewhere online, as well as plans for different seedball makers. I have always done it by hand, but will likely make a mixer this coming year...