Thanks to everyone for your nice comments! I think I will be checking thrift stores for dressers in the future! I have a few places around the house that I could easily put a few...
I did most of the wrapping while enjoying some Netflix streamed TV Shows (finally getting hooked on Downton Abbey!) and listening to an audiobook. I started folding FQs for the top drawers yesterday and then will get back to another section of my stash.
I'm not going put it all on boards because 1) I don't have enough bookcase or drawer space and 2)I have a lot of stash and my current system works pretty well. The most active stash is in the drawers as I'm always looking for binding to match a UFO or a blender fabric and love being able to see them at a glance!