I just made a new spellsword with Master difficulty. I seemed to do a lot better with robes instead of light armor because of more magicka = more spells casted.
Even the conjuration spells can cost a lot of mana in the beginning. Flame astronach + bound sword left hand + bound sword right hand.
I′d keep both. Light armor for close combat and robes for ranged battles. Don′t give up conjuration.
Mage robes and headgear weight only 1 each anyways.
I know, I don't want to give up on conjuration, but I just don't have enough perks for it. Since I am going heavy on enchanting, I will just enchant light armor with magic regen and all that.
I ended up going with a Dark Elf. I am loving it so far.