Changing hair styles specifically for the car reminds me of some emergency responders who were talking about the horrific crash scenes where people wearing plastic hair claw clips that broke apart and become shrapnel or the clip simply lodging in the skull through blunt force contact (usually) with the headrest.

Hmm.. Maybe we need a split headrest. Kids having something fun to pull on is another consideration.

You could try wearing it low/loose at the base of your neck if your hair is long enough. That might help some.