I use very little alchemy beyond mixing stuff up to discover ingredient effects. Similary, no enchanting so far except to disenchant, and recharge Lydia's sword. I carry a staff, but have never had to use it. I may ditch it entirely. I do a tiny bit of smithing to improve Lydias equipment to fine.
But, here is the catch. I think it is unnatural to ignore locked things. So this character unlocks chests and doors. He does avoid traps without unlocking them. This, of course, has caused lockpicking to level quite a bit. Also, I think it would be unnatural for this character to avoid selling loot and buying upgrades/spells just to supress the speech skill. So his speech skill is fairly decent.
So in summary, in order of highest to lowest, the skills used are
Highest - Destruction = Conjuration : I keep these skills equal and they get almost all the perk choices. Focusing on the atronach side of the tree and ignoring the necromancy perks for now
Alteration: I am just taking the perks needed to get mage armor, magic resistance, and spell absorption
Lockpicking and Speech : normal side effect of unlocking and sell/buying (plus, I use the persuade checks when available)
Alchemy
Least - Smithing
This character is a lot of fun.
Also, I agree that I use the favorite hot keys much more with this character. And they work SO much better than with my dual-wielding sneaker, who could rarely get the right weapons in his hands using hoykeys. Even dual-wielded spells work better than weapons with the favorite hotkeys. Wouldn't want to play this character on a controller...
My previous Argonian sneak/illusionist/assassin/archer was also a bit of a glass cannon. While the challenge was fun initially, especially judicious use of fury against crowds, at about level 40 with perfect and perked sneaking and leveled archery and one-handed, one hit kill sneak attacks for everything but dragons got boring.
