Before I started wearing a helmet, I used a cycling cap to great advantage - it was cool (not "cool" as in not cool, but cool as in not hot!), and the bill soaked up the sweat very well - if it became saturated, the sweat dripped off somewhere other than in my eyes.
Now, my daughter has talked me into wearing a helmet, so the cap had to go - just too much congestion up there, so, now my cap has been thrown on that great stack of other once useful items that are too trivial to store but far to valuable to simply throw away.
If you pay me money, I'll sell you mine - that would be way cool (not cool as in not hot, but cool as in cool!!).
Caruso