pondering some ideas about head covering(s)

at 33-38 degrees, last weekend, I rode alternating between the hooded sweatshirt, a thin knit hat & nothing except a thin helmet cover. the 2 thermal items were too much & just the helmet cover wasn't quite right. wondering if the thin poly or cotton head-sweats was more in order. but those seem more for fall/spring. was thinking maybe just a cycling headband would have done the trick, but I can't find mine ;-(

anyone got a head cover they use that's just right for when it's cool, but not cold?