Since several of you didn't know what a do-rag is, I'm posting some pictures. You can fashion one out of a bandana handkerchief, or you can buy ready-made ones at biker shops (that's the more expensive solution).
If I wear a do-rag under my helmet, my hair will still be flattened, but I can leave the rag on my head when I take off my helmet so nobody will realize how flattened my hair is. They'll just be thinking, "What is that old woman doing with a do-rag on her head? Going through her second childhood?"
They'd be right except for one thing: I've never left my first childhood yet; nor do I intend to.