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Have had a few guys that could really cast show me a few things over the years and the windmil effect you talk of, ending with a mess of spaghettied leader, is easy to correct. The best way to describe it is the fact you are trying to shove too much line out. A gentle retraction just as the line is settling will straighten things out before it hits the water.

When fishing tiny creeks and hitting tinier pockets the natural tendency is to do it automatically to get the fly in exactly the right spot. Thinking about that aspect of it as you are doing it should make it a natural transition when you are reaching for all the distance you can and still need to straighten that leader.

Would also ask if your leader butt is stiff enough...
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Mark Begich, Joaquin Jackson, and Heller resistance... Three huge reasons to worry about the NRA.