If you put the sycamore in the barn to dry, it will stain on you. Yellow Poplar, Maple, Hickory, Pecan, Hackberry, etc will be ruined from stain if it does not get good air circulation in the first month or so of drying. I fear that there will be inadequate air flow in the barn. The cherry would probably do OK, maybe even the oak. I would not risk it. To air dry, you need air, and lots of it.