Solders carry lootable "clothes" that are similar, if not the same as, minors clothes.
The Worn Shrouded Armor may be right for you. It can be enchanted and renamed. Its only catch, which may not be a concern for you, is that it can not be improved at a work bench.
http://elderscrolls.wikia.com/wiki/Worn_Shrouded_Armor
Pay attention to this bug though:
Grab the set on the book shelf at the bottom of the stairs leading to the training room in the Dawnstar Sanctuary. Don't even pick up the Worn pieces that are in the master bedroom. I've never had it happen with the set at the bottom of the stairs and had it happen every time with the set in the bedroom.