I shampooed with yes to cukes, conditioned with TN, the smoothing one, not the moisturizing one; and at Dusa's suggestion, I went back and tried CK again. Over that, a bit of Volumax. Ta da.
Results: Hair is nice and soft (see, this is why I like CK) with decent curl formation; a little frizz, and I would like more volume at the crown. In response to comments and suggestions of JLeighs, tomorrow I am going to do the same thing, only just CK. I have felt for a long time that the more I put on my hair in heat and humidity, the more reactive my hair gets, which I think makes sense with LP hair.