Primal Path: Path of the Spellrager

To be done. Effectively, Eldritch Knight but for Barbarian but using Charisma.

Level Ability
3 Spells, Spell Rage
10 Rage Magic
14 Eldritch Fortitude

Spell Rage

Rage Magic
Cantrip as Bonus Action during rage, Rage Bonus damage applied to spells while raging

Eldritch Fortitude
Resistance to Spell Damage while raging

Found this as a viable version. It is druidic in nature rather than arcane.

Another take on the rage mage