I think that a "Deerstalker " is just about right for you.
My elder brother used to wear one in his MG TC when I was a boy.
Great for chilly mornings and evenings before the sun sets.
In the summer I use a wide brimmed hat with a steel wire rim and a chin strap.
It cant blow up or backwards.
In the winter when the sun is weaker and my ears are not so prone to getting burnt and subsequent skin cancer( burning off with liquid nitrogen is very painful) I just use a baseball cap,very firmly adjusted and pulled down hard.