[TheDon]

I don't think the abductor came in through the window everyone keeps talking about. I think he came in through a door. Also, I don't think that style of hat falls off very easily, as it is often referred to as an English driving hat. I think it is quite secure. I don't think the abductor did the kind of planning you are doing in hindsight.

[stlnative]

How about a driving hat that has the snap undone at the bill?

My Dad wore this type of hat all the time when he was alive. They fit his head pretty good and wore them to protect his bald head. He wore it with the bill snapped down all the time.