Lynn,
I do not see any rot there, just some damaged leaves so far, so you are probably OK. I would avoid more trauma to the plant.
Plant it in a 1 gallon pot with quality soil and place it where it gets good light, but no direct sunlight and not out in the rain. Wait a couple of days, then start a regimen of daily misting (so that the water from the mist starts to run off the plant, then stop misting that day). If it makes through the month, then it should be ok to plant back out in the raised beds, but carefully. Apparently Cumuli is a delicate one.
BTW, the plant pics suggest to me that the plant is just stressed by being too dry after division. That's a good thing as it tends to discourage rot. Be gentle and be vigilant with it.