Are there known examples of knot groups that do not surject onto any alternating group? I would be a little surprised if the answer is negative.

Update: To reflect the interesting part of the question, I'd prefer to avoid the unknot and the "abelianization" in the obvious way. So, the target alternating group should be considered as $A_n$ $(n > 3)$. That is, as suggested by YCor, does there exist some nonabelian knot group $G$ such that for every $n > 3$, the alternating group $A_n$ is not a quotient of $G$?