Wis and Cha for most somewhat-intelligent golems are around Wis 11, Cha 7-10.
I think its AC is going to get a boost, as +3 natural just doesn't make sense. Even a flesh golem has +10.
Skills: Search, Sleight of Hand, Spot?
Feats: Skill Focus (Search), Skill Focus (Sleight of Hand), Weapon Focus (eye ray)?
Death Throes save DC is Cha-based?