I once had a bisque kiln half full of pots that were too damp. They were also stacked on top of the dry pots. It was an interesting experience opening the kiln at ~150degC and seeing them jump around the kiln having some sort of gun battle, or maybe a popcorn party They never actually took out any of the dry pots but they were all thick so could withstand the bouncing crowd above.
If you are sure it is not your work then I think drmyrtle has a good idea with stacking all your work together. Make a bisque protection box and keep firing it with you work inside