Yes, all unique charms can be traded in the trade screen. However you can't trade a torch for a torch, or anni for an anni. Only one type of unique charm can be present in either trade window at a time.
imho, run the organsets to torches and ID them yourself. You'll get a string of bad ones most likely, but on average you get ~Organset value for the torches. Then when you get a really nice one (that you don't need), well you've made it all up with one quick chat with Cain.