I don't know much about curling hair as I'm always straightening mine

But, I saw you mention that you have those pesky flyaways, me too!! Biolage makes "shaping creme wax" that works for me, it doesn't look greasy at all and it really tames those suckers. A little goes a loooong way, too, I've had the same jar for months and it's still 3/4 full