The Inquisitor archetype "Living Grimoire" from Horror Adventures says the following:
"A living grimoire must prepare his spells ahead of time, and can know any number of inquisitor spells. He uses Intelligence instead of Wisdom as his key spellcasting ability score (to determine his spell DCs, bonus spells per day, modifier on concentration checks, and so on), and to determine the effects and number of uses of his domain powers."
I'm stuck on the "and so on" part. For instance, if I choose the Magic domain, the Hand of the Acolyte ability reads:
"You can cause your melee weapon to fly from your grasp and strike a foe before instantly returning. As a standard action, you can make a single attack using a melee weapon at a range of 30 feet. This attack is treated as a ranged attack with a thrown weapon, except that you add your Wisdom modifier to the attack roll instead of your Dexterity modifier (damage still relies on Strength). This ability cannot be used to perform a combat maneuver. You can use this ability a number of times per day equal to 3 + your Wisdom modifier."
Would a Living Grimoire inquisitor add her Intelligence modifier instead of her Wisdom modifier (instead of her Dexterity modifier) to her attack roll?
Yep, seems like it.
Er, the "and so on" is for other aspects of spells, although I think the only missing part is the "need ability score ≥ 10+spell level to cast a spell" thingy.
For your question, the relevant part is "to determine the effects and number of uses of his domain powers". Hand of the Acolyte is a domain power, and its effect is determined by wisdom, so yes, you get to use int for that.