Hey Melissa, I wonder if you could find a nice snow flake pattern you like, make up the snow flake, then sc in the point, chain enough to get to the next point, sc in that point, and continue around, then join in first sc. Increase evenly in the next row, using whatever stitch you decide to do. Keep increasing until it's large enough for the crown of your head, then stop increasing and just work 1 stitch in each stitch around, until the hat is a size you want it to be.
I hope this post is OK.