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I keep my razors in the bathroom in a walnut 7 day box which does not have a tight fitting lid.
The bathroom itself does not have an extractor fan and I have to clear the condensation off the mirror with a hair dryer after a shower.
My working razors are all different and I will swap one with another from my collection now and then.
The only maintenance I do is one application of Renaissance Wax after a razor gets honed, which is not very often.
I am very careful about towel drying the razor after shaving, and I have never ever had a problem with rusting.
I am not saying this will work for everyone but it has worked for me for more years then I'm willing to admit to.
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Having a small bathroom and more importantly a little one I currently use a roll. It hold both my razors, paddle strop, and has a space for a brush in travel tube. I’ll get some picks but it’s pretty ugly but effective. I’ve got some material to make a newer nicer version that is leather on the outside with a felt type material inside.