I've had and used shemaghs since 2005 from time to time. For your climate it is suitable year round. It might seem a bit skimpy on the coldest/windiest days. But I think you'd find more diverse use for it than you would with silk.

Por que no los dos?
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The ultimate result of shielding men from the effects of folly is to fill the world with fools.
-- Herbert Spencer, English Philosopher (1820-1903)