I too am trying the no shampoo/no heat method. ( but I'm mostly just low heat/shampoo now)
When I do my hair w/o heat/shampoo and I need to put it up out of my way I go for clips. I like the med. to big size with wider teeth. It's super easy to do a quick messy up-do and is not damaging.
When I do it I pull my hair into a pony tail, give a quick twist and pop on a clip. Fluff the curls and presto awesome hair that stays in place