When Flashing Firmware, the SuzyQ Board is no different then using a SuzyQable. Check out MrChromebox's page on flashing firmware (opens in a new tab).
Note that this WILL work on Ultramarine and Fedora. Grab the flashrom package from Fedora repositories, and cbfstool from Terra (opens in a new tab).
For other distros/package manaagers, check out flashrom packaging on Repology (opens in a new tab), and cbfstool packaging on Repology (opens in a new tab) (note that the package must include cbfstool).