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Rapala makes a Folding Pack Shovel With Bag, may fit your space and needs...https://www.rapala.com/rapala/fishing-tools/folding-pack-shovel-with-bag-/RFPSB.html?cgid=rapala-fishingTools&taglist=Rapala%7CFishing%20Tools#start=115&sz=36&cgid=rapala-fishingTools
I have the Walmart version of this Clam shovel. Works great and I like how it telescopes out and back into a compact size. https://www.amazon.com/Clam-Corporation-CLAM-Scoop-Shovel/dp/B0765CXWNF