Pin it down
You could also bring a box of sewing pins or T-pins and tack the squished dry item to a clean dry towel. Knitters call it "blocking". Basically, if you lay a wool item on something with a bit of grip, it will help it from migrating and deforming. Pinning it into place helps if you want to lay it on a clean towel and drape it between two chairs/chair & desk etc or if the knit is smoother fabric that doesn't "stick" well. You can also attempt to reshape some woolen items by pinning wet/steamed items into the desired shape.