If you're looking for a somewhat classy and cheap alternative to the razor box, I'd go t a cigar shop and pick up a nice cigar box. I keep mine in a beautiful Montecristo box with a tropical beach scene on the top. The wood seems to do a good job of maintaining a low moisture level inside.

I also keep a few packets of dessicant inside my cigar/razor box. Ya know those silica gel packets that you see in new shoes and some random foods that say "Do not Eat" on them? That's the stuff. They absorb any ambient moisture that might be extant in the air in your box, further lessening the chances of oxidation.