Outdoor Research do a cap with a detachable neck protector. It's not as well ventilated though (OR clothing is excellent quality I have a bunch of climbing, hiking stuff)
https://www.amazon.com/Outdoor-Research-Sun-Runner-Khaki/dp/B0026TAFDA/ref=sr_1_1?dchild=1&keywords=RaidLight+cap&qid=1621451848&sr=8-1