Imagine a PicoITX (like above) running a minimal Linux distro. The Amiga peripherals could be interfaced using USB.
Why not just build a simple FM transmitter/receiver, like they are used in carkeys (to open the doors)?
Plug/build in a battery-powered transmitter in a joystick or mouse, and make a receiver connect to the joystick/mouse port.
You want to do things FAR more difficult than really necessary....
