Archery
Alteration
Illusion
Conjuration
Alchemy
Since I love magic, I'd suggest destro. for wall spells when things get up close. Invest in one or two (if you're like me, three) elements. Preferably ice (keep melee off) and whichever you like between lightning and fire.
And might I suggest enchanting for your mystic archer? Just the 1st five perks and up the middle tree would work great. It'll provide some resistance, magicka boosting, more bow dam. and spell cost reduc.
I know enchanting can be OP, but I think you really have to try to OP it, or I'm doing something wrong.
Hope I've helped n good luck!!