I'd just put it in a box with some moisture removing silicone beads. You know the stuff you see in packaging? Just throw em in everytime you get one!
I use a data/ floppy disk box I bought at Office Depot. I use one razor each week then rotate every Sunday. I keep the ones I haven't used yet in the middle drawer and the ones that I used in the bottom. I keep this box in the top shelf of my hallway closet, a few feet away from the bathroom. I keep the razor that I'm presently using that week on top of the box.
After I go through all of them, I hone any that need it and oil them for the next rotation (I don't oil the razor that I'm currently using).
The very top drawer has room for my injector razors, DE razors, Gems and my Mach III that I still keep around.
Ernest
I'd just put it in a box with some moisture removing silicone beads. You know the stuff you see in packaging? Just throw em in everytime you get one!