In addition to making the chicken wire thingy that Jon uses, I also make a habit of soaking up excess water in the bottom of my bin, and from the walls of the bin when it forms big droplets. Even if it's not touching the plants, it seems to contribute to excessive humidity in the box, which for me seems to cause mold problems.
Another observation, which could be total unscientific BS, but might be something to think about as well: I eventually end up in a state where there is nothing but a fine mist of condensation (tiny droplets that look more like a haze than water). This seems to be the optimal environment when my cuttings take off and excess water stops collecting - So I've been aiming for this environment in my boxes, and it seems to be treating me well (no rot, so far, knock on wood, fingers crossed)
When I get to this point of "fine" mist on the walls of the box, the humidity is typically sitting around 70%-75%. I try to maintain that (not hard, if you open the box and use the lid to fan it out every other day, then close it up again)