I don't really know much about hosting illegal contents but I know one hosting site which exasys individual cloud. The individual cloud is a cloud computing sservice wwhich is customizable to the requirement of their client. They provide individual I.T infrastructures.
Exasys individual cloud from my research looks excellent for secure hosting. You can determine the type of device to use use it on. Either laptop or android phones. With enough I.T resources. Meanwhile, irrespective of data storage , RAM, or CPU power needed, the secure virtual servers will offer the flexibility to need up with your demand.
By the way, all servers are located in two swiss data centers in the greater Zurich area owned and managed by exasys and its affiliate.
So i expect it to provide your basic needs