Bonnie - I think many of us have had that type of rot this year. It hit my Secret Rites first, and after digging out the soft part I treated with bleach solution while in situ. There was further rot, so I dug it up, and was able to salvage 4 increases. After dipping them in bleach solution and letting them dry a day or two I put them in pots. Now, after 4 months, I decided to put them back in the gardens and all of the increases had tons of roots. So I say, dig it up, salvage and treat what you can and then pot them.
I was also able to save some of Green & Gifted this way, and the remaining part of that rhizome is looking great.