I saw one of these at a church picnic yesterday. Google solar fan hat.
5-20 bucks or so. A solar cell or 2, and a perfectly matched small DC motor and fan. Buy one and gut it out for a cheapo DFARS. At that price, if it lasts only a year it's still a bargain.
Another option is a solar powered RV plumbing vent for $35 fro Camping World:
or one of those solar vents for a car.
I think I'd go for gutting the solar plumbing vent unit.