[greggyb]

Put the whole thing on a platform with casters and bolt the case and a UPS to the thing. With a solid metal base, you could put on a shelf for mouse and keyboard and a stand for a monitor.

This seems like a pretty achievable project if you have access to a workshop.

[wl]

You can buy such a thing off the shelf. They're called "Workstations on Wheels" or "WoWs" and they're everywhere in medical facilities.