This may sound crazy to you but it sure made me happy on my last Mustang. The black plastic vent at the base of the windshield, between the hood and the wipers (on the outside) will move in its' mounting holes. The noise sounds like it's coming from the dash. The next time you hear it, get out and push down on it. Then see if you still hear it. I have heard of people pulling it off, and wrapping tape around the posts. I never did do that, but I pushed down on that piece when it would start and that solved the problem for awhile. My Bullitt doesn't do it.
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