Does the "given" also include wool socks?
Those, a watch cap, and as odd as it sounds, a long wool tunic. Think a Colonial-era hunting shirt, but rather than linen, a light wool, about mid thigh length. It's like a poncho liner that won't melt.
It's odd, I'm slowly adapting my ren faire wear to outdoors wear. Oh, wait! If you aren't dressing like a fop, then that's what it is. It didn't change all that radically much from when the Greeks were around to the 1600s. Hard to beat that type of gear.