this is one of those situations where it just isn't worth the risk. Your room mate might be digging through your stuff trying to find your porn, spare cash, or just from curiosity and boardom, and will find your diapers. Count on that kind of stuff happening. Once found, he's likely tell everyone, and by the end of that day, the whole school will think you're a pervert, a freak, and got some serious psychological problems. People don't give strangers the benefit of the doubt, and they also love juicy gossip and drama, meaning they will assume the worst.
that will be bad enough, but these people will be your colleges in your career field for the rest of your life. 10 years from now, you take a new job, and someone who already works there and who went to your school remembers what they heard about you back then, and decides to tell everyone at your new job all about it, probably embellishing trhe tale to make it even juicier, because that's what people do; spread gossip and drama.
you'd be better off keeping your stash off campus, in a small storage unit, or in your car. The take a few weekends at a cheap motel someplace, and wear there.
Another idea is to buy an old RV. you can sometimes find 30 year old rusty RVs for dirt cheap. a friend bought a running, functional, but ugly one for $500. Use it to store your stash, and take "camping" trips on weekends where you can wear all you want.