How should a washed rind cheese be stored in the refrigerator?
Your best bet is probably a specialty product intended to wrap chese—that is, cheese paper.

Cook's Illustrated tested and found that (for cheese in general), wrapping the cheese first in wax or parchment paper, then over-wrapped loosely with aluminum foil performs better than either alone, and almost as well as cheese paper.

They report that the wax paper-aluminum foil wrap kept brie and cheddar almost as good as new for over a month.

They also found that plastic (either bags or wrap) developed mold before any of the other methods.

(Unfortunately, unless you have a Cook's Illustrated online subscription, you won't be able to see that link.)