You can accomplish the upgrade with an Intel Mini Breakout Board (without the need for the Arduino board).
Since I have not played with the sparkfun console board, I have to ask when you connect it to a windows computer, does it give you an additional drive letter (like a flash drive).
If so, you can download the latest firmware, unzip to that drive, login to Edison, and issue reboot ota. If not, you will either have to check with sparkfun on their procedures or purchase at minimum the Mini Breakout Board -- mouser.com carries them, as well as others.
