If there is a second round of voting, I'd say that every story that got 2 votes would be a better run-off number than just a tie-breaker for third. Even Dearest Daughter isn't anywhere near a majority of the remaining votes, there were just so many good choices.
On a personal note, the winner and one of the thirds were honorable mentions of mine, and the other third and second were two of my nominees. So I'm personally happy with the outcome.
That said, I think having a second round of voting would be more fair, a 1-vote run-off for third would be okay, but a 2-vote poll among the 2-or-mores would be even better in my opinion.
I'm personally surprised Black Hill got so strong a majority. I mean, I honorable-mentioned it too, I really enjoy the story, I'm just surprised it is so... universal. Especially given the variety of choices and how spread out all the others were. Like I said, not disappointed in the electorate or anything, just surprised.