Use a bound sword, novice spell. You could be a nord, brenton, high elf, anyone. For illusion I just happen to like the high elf. I even have a nord sorceress. Go with what you feel is right for what you want to do. I would stay with the mage stone. It will help you. Also, everytime you get ready to go into a dungeon, always sleep for at least 1 hour to get the bonus there also.
I have a thing about alteration, and do not use, do not like it. My opinion, and I always play as a sorceress. I would trade the alteration with conjuration. Use conjuration for your helpers in any dungeon while you stay hidden, working your magic. In Restoration, get the necromage perk in restoration. That perk will help you deal with the undead, including vampires. In illusion I would take all the perks, period.
In sneak, take the deadly aim perk, for when using the bound bow, it will give it 3x the damage, especially in sneak mode. Then only take 1 perk in stealth, and up the left side to silence.
All bound weapons can have poison put them, so I would invest in alchemy to make your own potions. They would be a lot stronger, especially the damage health and ravage health.