Im starting a new dunmer character, and I need help coming up with a good, fitting class name

Major skills-

Alchemy
Blade
Conjuration
Destruction
Light armor
Marksman/Alteration (havent decided between the two)
Restoration

Any ideas are welcome

It's closest to the default Witchhunter class than anything else, for whatever that's worth.

I do not usually bother with the character build topics, but if you are going to use Destruction for ranged attacks, there is no point using a bow as well. If you split your focus, both skills will level up at half the rate it would if you just stayed with one of them. That makes you weaker as the monsters get stronger. OTOH, touch Destruction spells can be handy when playing an archer. You use the bow at range, and if anything gets in melee whap them with a Burning Hand spell. If you are going to be using a lot of Restoration, then Absorb Health works well here as well, although at low levels it really eats your magicka. Once you get good at it however, nothing can hurt you (not for long at least).

As for a name, I suppose it depends on what you plan to do with the character. Do they have a focus? Like hunting necromancers or goblins? You could call them a Dark Stalker, or Night Hunter, etc... Just going to be a hired sword? Call them Mercenary, or Free-lancer, or Hired Sword. Are you going to do the arena with them? You could call them a Gladiator. Do you have a history of the person that might indicate a class name?

I don't even worry about the Class Name very much. My newest character, Kara Whey, is simply a "Student," since that's fits her "history." You hardly have occasion to worry about the class name, once the game is progressing.

One of my past characters was a "Village Idiot."

My most recent Oblivion character is an Ayleid, so I named her class Ayleid. Original huh?

I figure that the class name is what the character enters the world as. You really had that feeling in Morrowind, where you actually started by filling out your papers at the census office.

What you do after you're in the world is what matters.

My class names are the characters’ names. That way they still fit no matter how their games develop.