@ThisIsAManWhoKnowsHowToGling +
For tightly woven natural fibers, I’d go with a quilting cotton, cotton flannel shirting, or, if you can get a good price for it, midweight wool suiting that you’ve lightly fulled in the wash (wash warm, tumble dry a couple times, unfolding it all the way in between cycles to make sure it doesn’t stick to itself).
Prewash the cotton too (on hot) to make sure it’s done most of the shrinking it’s going to do before you sew.
@ThisIsAManWhoKnowsHowToGling Trade offs: natural fibers will be a little less wind proof but way less sweaty… and more expensive, but they’ll last longer.