How do you protect an egg when dropping it from the top of bleachers?

That's simple use a sheet of cloth like a bed sheet. You could even use physics on it in how well it works, trust me it should work. If it doesn't the egg doesn't crack when you have a great baseball pitcher throw it at a bedsheet with all the strength they have I'm sure the gravitational acceleration of earth won't likely crack it either if it lands on a sheet of cloth like a bedsheet.