Bear in mind, this is what I have been doing. I am not saying try it, it just has been working for me.
In the beginning of this season when rot would show up, I would only cut out minimum of mother rhizome and treat with bleach. Unfortunately in most cases, rot continued and took the increases with it. I then got more radical. At the very first sign of a softening rhizome, I cut the entire mother rhizome out, treat with bleach and leave the empty space there to dry and get air. About 3 weeks after that I fill the empty space with new dirt. Using this method all but 1 recovered.
Also, if there is any sign of rot on the increase I dig the entire plant up and destroy it. I also dig an area of about 1 foot around where the plant was and discard that dirt.
The reason for all this is a 25% total loss rate last Fall and this Spring starting with similar rot rates.
Also, as a sidebar, I am doing everything I can to increase worm count. Worms make healthy soil.
Blessings