Thanks for all the great advice. A light water once a week sounds like a safe way to proceed. Once these plants have gone thru a few growing seasons I'm hoping to see tubers large enough to store like C. esculenta.
This reminds me that last winter many of the smaller C.e. tubers dried up completely (didn't survive). That is those which were about 2.5-3" or less and which I removed the petiole bases. The larger tubers did fine and about half of the really small offsets did fine. This year I kept one clump intact to see if that makes a difference.