In praise of light-weight scarves
A year or two ago, I made three simple scarves of "shirting" flannel, and found that they were excellent for keeping my body warm in cool room conditions. Of course, you'll want to combine them with layers of other clothes: I usually wear a cotton T-shirt, flannel shirt, and either synthetic or natural fleece vest, and sometimes a synthetic fleece-lined cap. But without a scarf, that left my neck (with its high-capacity blood vessels) exposed to the cold. (It also left my shirt collar exposed to more skin oil and sweat, which was both unsightly and shortened the life of the shirts.)
My basic scarf is one layer of flannel thick, about 8" x 40". I don it over the T-shirt, with one end smoothed over one shoulder, once around loosely, and the other end on the other shoulder. Since it's thin woven flannel, it's much less bulky than a hand-knit traditional winter scarf (and probably shorter in length).
It's basically the same idea, on a smaller scale, as the Arab shemagh (or keffiyah). Shemaghs are readily available through on-line sellers, if you don't want to make your own, but the simple scarf that I describe above needs only hemming of the seams. It's hard to imagine a simpler sewing project.