Currently we have a couple options for gaining unnatural stats, Power Armour, Cybernetics, and Daemon Pacts. However I don't think this encompasses all the ways acolytes and as an extension inquisitors could gain unnatural stats. So my question is, if you like them in your games how did you give them out and when? If you didn't, what did you replace them with?

None of my PCs have gained them through anything but Augmetics or Power Armor thus-far. That said, I would easily consider making use of Elite Advances to give PCs access to Unnatural Characteristics. Replace the usual Aptitude with an Unnatural Characteristic you usually get for Advances like Preacher, Stormtrooper, Commissar perhaps?