I'm still playing my Elegant Orc Blossom, who won't wear anything but velvet and jewels, but carries a waraxe in case she needs to negotiate. However, for variety, I've also started a Dunmer Nun, who's trying to avoid the use of weapons as well as armor! She wears a whimple (mod-supplied) with a robe and sandals. The robe she currently uses is one "of Deflection" providing a bit of Shield, and she'll undoubtedly enchant her own later. She's not a complete pacifist, and will punish anyone who attacks her. The only enemies she'll actually seek out are Vampires, which she considers an abomination. I may have her develop a similar distaste for Necromancers, too.
She's using Restoration spells as much as possible, including Absorb Health as her main offensive spell. The main issue she has is with blocking. Using a shield requires a weapon in the other hand, and blocking with fists is very ineffective. Right now, she's carrying a silver dagger just to use as a blocking mechanism, but I'd prefer a non-weapon method if I can find one. I may even have to make a no-damage "weapon" mod for her just to keep the game mechanics happy, unless someone can suggest an alternative?