I used Gregoune's model as inspiration to create my own, slightly more compact version in Fusion.  Besides making it smaller, I added two hanger elements to hold the stir stick.  I also added two tiny elements on the top and bottom platforms to keep the drying rack from sliding out.  Check out Gregoune's model for the honeycomb drying racks.

I have the original Aeropress, which fits nicely in this storage solution.  Enjoy!