I don't know if the audience for this game would appreciate minigames. Usually they're more work than it's worth for something a good bunch of people would rather skip.
Can you expand on what kind of "mini game" you wanted, exactly? I have avoided putting mini games into CK up 'til now as they're generally a LOT of work to design and tend not to function very well (CK uses Ren'py - a visual novel engine). And I'm just one man :P