While I do limit my time in the Sun as much as possible, it is a tall order to avoid it all together, especially in Texas. I tend to wear loose layers, either cotton or sun protective fabrics. I get my sun protective fabrics at Rocky Woods in Colorado. For hats, I have a hat that fits around dreads and I also made a conical hat. The style of the conical hat fits over my dreads and offers great sun protection and does not get super hot. If you are interested in making a simple conical hat to help keep you sun safe check out this youtube video With my conical hats, as in the red one below I cover both the outside and inside with fabric to make it uniquly mine. My conical hat has a 12inch radius, so it is a good size for good shade. I even made Bee a conical hat. Hers has unicorn fabric on the outside and flamingo fabric on the inside. For the string of the conical hat I use paracord and a cord lock to snug it down under my chin.
While I am riding on my bicycle I of course wear a helmet, but I have a sun brim that fits on my helmet offer some shade to my head, neck, back, and chest. For the parts of my body that aren't covered, I wear Neutrogena 100 spf sunscreen. I don't play around with sun! Loose layers seem to be the best when dealing with the heat and the sun. While I do wear tank tops, I tend to cover my pasty white skin when outside. I have various cowls, and scarves I layer up for sun protection as well. I know that there are specific sun protective garments that are ready made, gloves, hats etc... I just tend to make my own.