We dyed eggs a couple of nights ago and I did something that made the entire experience better. Instead of using the cardboard cut outs on the back of the dye box to hold our wet eggs, I flipped the empty egg cartons over and used them as a drying rack. We dyed three dozen eggs so I had three empty egg cartons. I used a piece of tape to hold the cartons together (blue tape wrapped completely around the top and bottom of all three).
In the past the cardboard boxes have collapsed causing a few eggs to break. This drying method worked so much better!