No, there is no anarchist refutation of Marx's The German Ideology, at least from a Stirnerite position. And no, I would not consider writing one, because I believe that, despite his many petty misunderstandings and ad hominems, Marx's critique of Stirner is basically sound.
If you're desperate you can try Saul Newman, an academic who has written on Stirner from a post-structrualist anarchist perspective, including an attack on Marx (that is, a shallow and reductive interpretation of Marx). Newman says, for instance, in From Bakunin to Lacan: "For Stirner—and this is the crux of his critique of the humanist Marx—man creates himself". Newman basically reiterates Stirner by arguing, for instance, that Marx posits a normative "human essence" that denies difference, that Marx subordinates the concrete individual to an abstract and imaginary "Society", etc.