When my plants are inside I use a lot of tie and pants-hanger things as racks for smaller plants; I put cup hooks and eye bolts in ceilings and windowframes to hang the racks from. Bigger plants just get hung right on the hooks/bolts. If I need to hang something and don't have any pot/basket hangers handy, I make my own with pliers and galvanized steel or aluminum wire. Hope this helps!
Oh, and I know very little about growing Coryanthes, but one thing I'm pretty sure I've heard/read from several sources is that in the wild they tend to grow in or encourage ant nests and so like very acidic conditions at their roots. Sphagnum (live or dead), redwood bark, and granite are good media for acid-loving orchids. Maybe you already know this, though...
