Have an older laptop lying around? It should be able to run Tiki Suite just fine. You can also purchase a ClearBOX or rent a dedicated server ("root") from any hosting provider.
In the future, we'd like to figure out a way to run on a http://en.wikipedia.org/wiki/Plug_computer
Please share below your experience of successes and failure with various hardware. In general, pretty much any laptop will work, if it has USB ports.