I'm a conjurer using a bound sword every now and then to help my atronarch. 1H is at about 30 and i neither have any of the 1H damage perks nor the bound weapon damage perk and still doing decent damage so it's perfectly viable.
edit: and how would i do with the health /magica ratio?
Just enough magicka to be able to cast Stoneflesh + Weapon at once, rest HP maybe a bit Stamina but mostly HP (or full HP and getting magicka through enchantments...that's what i'm doing and i also summon atronarchs which are more cost intensive)