My archers are either pure archers, or archers with destruction magic, just enough to Get-that-thing-offa me!!
My archers might carry an enchanted dagger, but that's about it for close quarters. They either use that one awesome getoffme spell above, or run away. RUN AWAY!!
Or go invisible.
You might want to think about Conjuration. Having a buddy means that you can keep your bow out longer rather than switching to a melee weapon. He's a good distraction.
Bosmer, the Atronach. <-----If you think this is too harsh, then Bosmer, the Thief.
My two septims.