I prefer a mix. I usually settle into a play style of destruction, marksman, a one-handed weapon of either type, at least one of the lock-opening skills, and a whole lot of sneak. I tend to shoot off spells until my magicka runs out (which is quick--how do people play mages?), then use a bow until the enemy is close enough that it makes more sense to beat it to death. Then I sneak past things until I've got my magicka back. It just seems the most natural to me.
The closest to one of the classic types I've ever managed to stick to in this game was the one you left out: the sneak. Sneak is the most overpowered and rewarding skill in the game in my experience, and it takes me conscious effort not to power through by a combination of chameleon/sneak, picking my way through every lock thanks to the skeleton key, and always using a combination of poisons and sneak attack bonuses when I have to fight.
In other games I lean archer/warrior.