If you can see the blue screen there still is a hope.
Does the DRIVE LED blink when the blue screen is visible? How many blinks can you see?
Connect a PC with a terminal program using null-modem cable. Set the SERIAL jumper to the MCU position on the Minimig board. Configure terminal to: 115200 bps, 8N1, no flow control. Then tell us what you see in the terminal when you power on your Minimig.