Assuming Unearthed Arcana is allowed you could just use Battle Sorcerer Alternate class, (improves HD, Gives proficiency with 1 single handed martial weapon, and also allows casting in Light armor, Allows Battle caster feat to cast in medium armor, and as mithril turns heavy armor into medium armor with regards to spell failure allows use of mithril heavy armor without spell failure).

I vaguely remember a full BAB/full Casting PRC with D10 HD, Arcane Champion or something that requires martial prof with 1 weapon (IIRC) which you actually have as part of battle sorc.

You lose out on

Spells known, Spells per day (1 of each per level), Knowstones can fix the Spells known issue easily.