I don’t necessarily want a conservative media; I want a fair media. See Tagline.
A conservative media might be as bad as what we have now. OK, not that bad, but bad.
You want what has seldom been seen. For most of the history of the United States, the media has been partisan.
For a few decades, several media outlets were relatively impartial, politically. That is to say, you could not easily determine if the newspaper was Republican or Democrat.
That era did not last long. It appeared to last longer than it actually did, because the Progressive left insisted its version of reality was objective truth.
We were ruled by a Mediacracy from about 1960 to 1994. Since then, we have had enough alternative media that the Progressives have had to become ever more strident and obvious in their partisan politics and censorship.