I had to do one of these as a kid with toothpicks and glue, nothing else.
The key to a successful drop is having some part of the assembly that will crush. collapse, or compress freely and gently upon impact (I used weak glue joints on the outer structure of mine).
The best thing is to design an internal "egg carrier" and then place it in something that will absorb the impact easily.
First thing that comes to mind though is a 7x7 wad of bubble wrap