So we have a problem. A huge problem. The 7 1/4" of space above our ceilings is wet, wet, wet and no amount of ventilation can fix it. I'm thinking we're going to have to rip down the wet, moldy drywall and have it filled with foam insulation. This is something unexpected. We originally thought a ridge vent would do it, but there's just not enough air movement, especially once we add any sort of insulation and I don't think it'll work.
Otherwise, we demolished our kitchen island. I will post pictures soon.