Well then. If copying's out of the question (for now), then I propose Plan B:
A single brain, in a secure location, remotely controlling multiple bodies (one at a time, but able to switch between them.)
• Identify all the points of contact – the I/O pins – between the brain and body.
• Identify the medium and format of communication between brain/body/senses. I think most of this has already been achieved.
• Grow a body, a shell, without a brain.
• Take your brain out and keep it alive in a vat.
• Put wireless transceivers at each I/O point on the controlling brain and the shell body/bodies.
Will anything like this be remotely (<pun) possible?
You'd have to get used to lag but in the case of a fatal accident/violence* and most diseases your brain would be safe and able to switch to a new body..
I expect something like that would be very valuable to soldiers and workers in hazardous environments, like space.