Think I found it. It's always bugged me that something carved out of the desert with dozers and earth movers could up and disappear in eight short decades.
Here's your map Bob...
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Notice where the Gila starts bending south. Now look at Google Maps...
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That area is about the same distance north of the bend. It's slightly east of the circle in your map... but that's only as accurate as the guy marking the circle. And his circle would put it at the top of a southerly ridgeline... an unlikely place to build an airfield. Now have a close look at that area...
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This is Hickmans Eggs. If you think about it, are you going to clear and level land for an egg farm, or are you going to buy land that's already been developed?
Have a look here...
33.366740647501665, -112.75855696071092