I always want to wear a baseball cap while wearing a helmet so I can have it when I arrive at place so I can offset my helmet hair. But my helmet is really uncomfortable with a bb cap in the way. I don’t want to carry a bag with the hat in it and I outworn my beanies. Would it look stupid to place the cap on the handlebars or clip the cap into the strap of the helmet to carry it while riding? Does anybody have a good solution to wearing baseball caps with a helmet?