I had planned to weave a long strip and then sew the ends together to make a cowl. Unfortunately, I'm also still working on figuring out how to estimate the final size of a weaving project correctly and my first piece definitely came out too short. Since I still had plenty of the warp and weft yarns left, and since I had wanted to see what it would look like if I reversed them, I wove a second piece and sewed them to each other to form the cowl.
Here you can see the original piece: with a warp of some random yarn that I think is probably Madelinetosh DK or light worsted and a weft of Plucky Knitter MCN Sport in Jewel of the Nile. (The colorway has certainly been discontinued and I think the yarn has, too, but, oh, are they lovely!)
Here's the piece with warp and weft reversed.
Here's how I finished it: sewed two seams, pressed them flat, sewed them down with two lines of reinforcement stitching, and chopped off the fringe. It was mildly nerve wracking to cut, but probably not as bad as steeking. You can see the warp yarns more clearly in the photo with the seam.