A heavy duty paint stirrer works very well for puddling too.
I once got two used 20L buckets from a bakery, and drilled a bunch of size 8 or 10 holes in the bottom of one. I then put the holey bucket inside the whole one, loaded the clayey wash into it, and used a heavy duty paint stirrer from Bunnings to puddle the clay. It would be done in 30 sec to 1 min.
Good thing is the setup is portable with a good cordless drill.