No worries about the questions! That's why we are here and I don't mind.
People will do it both ways. You can clamp and heat individual sections which is common with the recurve or just free-hand it.
As you are already in the tiller, I would free-hand it. Do like you think, oil the limb then run the heat gun up and down the limb until it becomes hot to the touch and induce some reflex, like a reversed ground tiller. You can focus more pressure on the lower third of the limb to give it some reflex and then really focus some pressure on the tips. Just be sure to get yourself comfortable to be able to hold the reflexed shape for several minutes while cooling with a wet rag if doing it by hand.
Use the force, young Jedi, your instincts will serve you well...
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