You know those do not eat silicate packs that come in shoe boxes and other new items? Throw some of those in the container to help reduce moisture.
That is exactly what I do. I do not wrap mine because I like to take them out all the time and look at them but I do throw a bunch of those packets in there because living in Floirda moisture gets into everything.
I put my Angel in a plastic bag and I didn't realize she wasn't totally dry and she got runined.