Honestly, I'd switch their starting weapons or skills.
Inquisitor with warfare(Whirlwind, phoenix dive and Blitz attack work well), aero and a staff is great fun. Int based (Though staves have poor damage and most enemies have resistances where as very few has negative resistances, meaning staves are just worse swords.) With some close range spells such as the shocking touch or blinding radiance.
Battlemage is a poor concept. A character splitting their Int/Str will just be bad at both rather than being good at one, which, in the EA is much more relevant. Few npc's have extreme disparities in armor, and when they do, It barely matters. Also, If a character has 50 phys armor, 50 magical armor, and resistances, physical is superior as they cannot be mitigated by %.
Though, if battlemage was "Death knight" or such with Necromancy and warfare, now that'd just make a lot more sense while working well, too. Using necromancy utility like Shackles/Blood sucker/ Decaying touch, and have access to necromancy lifesteal for the basic attacks and warfare skills.