The Snow Huntress
This character is a type of archer using frost magic to slow down and finish enemies. This is inspired by the Norse god Skadi.
Race:
Nord (Frost resistance works well roleplay wise.)
Skills:
Archery
Light Armor
Destruction (Elemental cloaks for close combat. Freeze magic in this case.)
Enchanting (Enchant your own bows with magical effects. Frost arrows combined with stamina loss? Why not? And you'll be hunting souls aswell for your winter weapons.)
One handed is optional, I personally don't think it is a bad idea for a Norse hunter to carry an axe or little blade, just in case. But with the use of destruction, it won't be exactly needed.
Now I am aware of the many people and monsters in Skyrim with frost resistance, but it does still slow them down. This makes it easier for me to finish them.
Armor choice:
In my opinion, Skaal armor is a great choice for this character. As thick fur fits the cold atmosphere your character has. But it is not very strong in rating. But since I don't mind having a weak spot, I will without a doubt go for this one.
Factions:
The mage guild is a good place for any arcane archer. The companions are going to appreciate a good hunter aswell, but I am not sure whether they would like a mystical archer.
The Night Huntress
This character prefers the use of dark magic and illusion as her advantage in combat.
Race:
Dark elf, just because a grey/blue skin fits this all very well.
Skills:
Archery
Light Armor
Conjuration (Your demonic friend comes to aid you when you get caught in an ambush!

Sneaking (Seems logical to prefer doing all this in the shadows.)
Illusion (Invisibility, manipulate others their minds...yeah stuff like that.)
And again, one-handed is optional. Daggers would fit this character.
Armor Choice:
Nightingale armor or DB armor would fit this character. But not everybody likes being a thief or assasin. For my dark huntress with chaotic good morales, Vampire armor is no bad idea.
Factions:
Just like the Snow Huntress, but you might want to add the Vampire clan from Dawnguard. If I play this character, then I will make her a vampire with good morales. I do not really consider the Volkihar evil, more neutral.
So, what do you think?