After finishing Light's Out... (good read, by the way)
I would think that high intensity exercise followed by breaking an intermittent fast would be a good Paleo approach. Hunter gathers hunted down an animal, killed it (intense "workout"), then chowed down.
Naps weren't covered at all in the book though, which is a disappointment.
I'll just take them as I need to, but try to sleep in a way that I won't need them.