While I agree that just throwing out a truly random vote is meaningless, if someone believes that a random lynch is beneficial to town, which I completely disagree with, there's no reason they shouldn't be able to prove that the lynch is indeed random.
I don't like the way you've been playing this game, but I haven't had a reason to vote on you until now. Putting a vote in the way that you did on somebody who's not likely to defend herself is suspicious to me. Still not a strong case but it's all I've got.