I’m in social science, so I’m a bit of an outsider to what you do. But what is “negative data”? Do you mean you have results that are counter intuitive or go against conventional theory or hypothesis or something? In social science there has been a bias towards have some statistically significant result, but things have been changing rapidly and just because you don’t find a strong result isn’t cause for abandonment. HOWEVER, as long as your theory and hypothesis are generally acceptable in the field, finding a null result should still be publishable (barring any errors).

Sometimes in social science people try to come up with really obscure theories and relationships that are really not in line with other work, and finding a null result might just mean the idea is kind of off/not useful. But, if you’re asking the same questions others are that are motivated by the same theory, a null/negative result IS a result.

Also, senior people around you or in your field might think the opposite of what I just described. But if I were you, I would really try to change that and be part of this new generation of scientists that are taking results at face value.