Would an airtight container and liberal addition of dessicants help?

Sure. Just make sure the drive is warm before you take it out of the container - because this is when the critical condensation happens: you take out a cold drive an expose it to humid room temperature air. Then water condenses on (and in) the cold drive.

Re-freezing is also critical, the container should contain no humid air when it goes into the freezer, because the water will condense and freeze as the container cools. A tightly wrapped bag, desiccant and/or purging the container with dry gas would prevent that.

A vacuum sealer would probably help to avoid the humid air, too.