My recent favorite APA recipes call for both. Nebraska Brewing's Cardinal Pale Ale uses something like .65 oz cascade at 0 min and 2.6 oz cascade at dry hop (along with some galena at 60 min). Check the CYBI podcast for the recipe. It's great. I also just made a Citra pale ale that I'm very happy with. It used 1.0 oz citra each at 10, 0 and dry hop (along with some magnum at 60 min).
I haven't done any experiments where I take one recipe and move the flameout addition to dry hop, or visa versa, or maybe split a single addition to add 50% at each point, but I'd also be interested to hear from anyone who has.