I have a question for anyone who can shine some light on this topic. I'm playing on xbx360 console and have disechanted Linwe's armor, however I cannot find anything that will take these enchantments. What gives?

No can do.

http://www.uesp.net/wiki/Skyrim:Linwe%27s_Armor

edit: They are basically regular old enchantments, anyway. I keep them for their "collectible" value.