In this case, I would choose some light headgear for sports. Perhaps it would be a bandana. The girls who train with me during the morning run also wear different bandages on their heads. I have several caps that I wear when I train in the summer. In early June, I updated my sports equipment, including clothes. Among my purchases were fitness leg bands, 2 dumbbells, and a new smart scale https://www.vont.com/product/smart-scale-bathroom-scale-weight-scale/. I don’t need sports shoes yet, because I have at least 5 sneakers on my shelf. I think you will find headgear for sports. Many sports brands offer a wide range of different caps and bandanas.