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That will give you a very unforgiving tan line
I recently had a 2xu run cap, decent fit, but mesh panels in the top
Montane Coda cap which was too big and an OMM trail cap in S/M which could have been a kid's hat.
I have an old Decathlon one which, as someone said earlier, drips the sweat off the peak.
My best of the three was 2xu, but I didn't fancy weird tanlines on my noggin.
I will try the OMM one in a larger size at some point
I quite fancy an 80's Wimbledon style headband thing, as I find I'm routinely blinded by sweat in my eyes when it gets this hot.