I have a shed that was just built with the idea of being used as an entertainment shed. Although we call it a shed, it was built more like a 10x12 house. I currently am getting the electric installed and am trying to figure out what I need to use for insulation. It will be climate controlled. We live in southern Ohio so we have all 4 seasons and a fair bit of humidity with quickly changing temps from day to day.
The shed has vinyl siding with Tyvek wrap underneath and a metal roof. The floor has a layer of rigid insulating board already. My question is do I need to use faced or unfaced insulation? My main concern is development of mold. With the moisture barrier on the exterior and sealing up any openings with spray insulation, will having faced insulation create a problem with restricting air flow? Also, the ceiling is open (like a cathredral ceiling), so do I just install the insulation then drywall directly over it like we are the walls?