Unless you're doing the entire NM portion in one session (I did this for Chloris, so I can definitely sympathize after having to clear 50 slots for buds), why not just turn your skins/helms into the moogle's chest whenever you go back to Jeuno? You don't need to carry them all around unless you're either doing Sobek before Briareus is finished, or doing Briareus before NM/VNMs are finished.