Where to publish a critical comment on an academic paper? Background

Last year, in October, an exceptionally weak paper was published in Nature. The publication of such a piece in a top journal was a clear violation of peer-review standards. Despite the title and publication in a reputable journal, this paper did not provide any evidence. 

My attempts

I guess, I was the first to submit a Brief Communication Arising to Nature just a week after the initial publication. My comment was rejected two weeks later, and I published it in Publons system. I see that up until now there has been no clear statement in the peer-reviewed academic literature of the flawed nature of Dong et al paper. 

The question

What is the best way to publish a critical comment on a paper published in top journal, if that journal rejected the comment?   

I believe, it is very important to publish the critical comment in a peer-reviewed journal. However, usually journals are only willing to consider critical comments on the papers published in their pages.
Do you know what is the best way to publish a critical comment on a paper published in top journal if that journal rejected the comment?


In another top journal. But your comment "have take a form of an independent paper" as Alexey wrote.

Check those two examples from Computer Science field. First (1) from ICSE, Software Engineering community top venue, where Monperrus offers a critical review on others' paper. Second (2), Arapakis et al. challenge the results reported in Bandari et al.

In my opinion, you should go for a peer-reviewed paper, which is a very noble form of scientific debate.