So, I decided on a super lightweight straw hat with a large brim to shield my poor forehead and neck from the sun. But as you can see, it looks like it's just sitting on top of my head, and I'm not wearing it. (in my opinion)
Luckily, a short time later, I found this super, duper lightweight straw hat, a true floppy. I could ball that hat up in my fist and it would be just perfect when I put it back on my head.