I'm not a big organizer. Partly because every time I go on an organizing binge, I can't find anything afterwards
And partly because since I still work full time and most of my sewing is weekends, if I spend a whole day organizing I usually won't get to sew.
I have my batting in my grandmother's trunk on the upstairs landing outside my sewing room and I just dig thru. Of course, I haven't quilted as much as many of you so I also don't have as many batting scraps.