Turns out I am a 56%* match for this lovely creature named Bailey:
Bailey is a Staffordshire Bull Terrier, and has the chocolate brown eyes I always wanted. Staffies are great dogs, too. If only I were this gorgeous!
The neat thing about this is that the pups used for matches to are all awaiting adoption (I'm guessing they're all in New Zealand, the site has an nz at the end of the URL, and my match is listed as being in Auckland.) Hopefully lots of our Kiwi friends try it out and find someone to bring home and love.
*We have the same white hair. I just have a lot more.