The egg crate is not really needed unless you are separating something you don't want mixing, there is no real need to have all sorts of media in there unless you want to spend the money?? it is for bacteria to live in, I use Dacron as a krap catcher first contact and replaceable, shade cloth and up here with soft water, coral, coral is not for areas with hard water already.
Most fish farms use cheap medias like shade cloth or foam of some sorts and some of the commercial medias block to easy, shade cloth is a easy clean, used it for many years in many systems
My 2 cents
Bob