Scott's box lace scarf started me thinking about shawls and why we associate them almost exclusively with women. It occurs to me that men often wear "shawls" without realizing it- consider: how often have you seen a man with a sweat shirt or sweater with the sleeves tied around his neck and the body of the sweater draped over his back and shoulders? Watch a football game on tv and you'll likely see players sitting on the bench with towels draped around their necks.
I think a shawl would be acceptable apparel for men if it were tailored to the male sensibility: strong solid colors or tweeds (no pastels); clear geometric lace patterns as opposed to more delicate, subtle patterns; shaping which would be designed to sit in a fashion similar to the above-mentioned "anonymous shawls". Also, it would need called something with more of a "male" sound to it, like a"neckman", or a "necker".
I believe there are possibilities. What say you lace guys sacrifice a chicken and have at it?