Using Fort Detrick, that has the facilities because USAMRIID (at Fort Detrick) has been doing research on Ebola and other nasties for DECADES, makes a lot of sense. Why reinvent the wheel?
In reality, any hospital or research laboratory that generates potentially infectious waste has to have the waste sterilized by professional waste sterilization companies. This is because those companies, in order to be licensed to handle such waste, test their sterilizers regularly, and keep records of every sterilization cycle.
There is no wheel to reinvent. They keep saying how hard it is to catch Ebola. Why not just sanitize and dispose of as normal medical waste? Why send them all the way to Detrick?