My wife has the same problem.
She pulls her hair back in a ponytail and then covers her head with a ball cap ( with a clip on the back )
The hoody works very well, but can be warm. 
A farmers hat works, but is anoying if you get cross winds. 
A dew rag works very well and my wife uses it with equal suscess. Dew rags she uses are: a large kerchief tied about the head and tucked in the back or a biker cap that is prefitted to a persons head.
One last hat that works is a watch cap, but is warm.
My wife drives about a third of the time when we are out and about, so we have experimented with other methods to keep her hair from getting tangled.
I hope this helps. 
 
 