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Miniature Screw Sizes

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I am building a large scale static display model of the Minuteman II ICBM. I will be using miniature machine screws to simulate the area where the rocket motors join the interstages.

I know that screws near the size I need are expressed as 00-80, 4-40, 8-32, etc. My problem is that I am not concerned with the thread pitch or diameter of the screw, I need to know how big the head of the screw is to stay in scale.

For example I know that a 1" head diameter actual size is about 3/64" to 1/16" scale size.

How do I determine the head size from the given size?

Any help would be appreciated.