These look delicious! Great job.
To access one without disturbing the whole stack, someone suggests sliding a long ruler (probably 6x24) just above the one you want before pulling out the fabric. I haven't done it, but have no doubt it works.
My stacks of smaller pieces kept coming undone so I put them in clear shoeboxes without lids --on a short backcase. I wrapped another part of my stash (longer pieces) around around foam board (dollar store sells 20x30 that I cut into 4 (9.5x12 ) with some leftover. Line those up like books on another bookcase.
Of all the ways I've tried, the book style keeps them the tidiest even though you do waste a bit of space. Good luck--and try that ruler lifting trick.