I don't know that complete neutrality is an attainable goal, but you can look to sources that spend their money on sending reporters into the world - especially the world beyond Washington briefings - to observe events and then report back on what they saw.
Look at a news source and ask yourself: what percentage of it is canned political briefings, "analysis," and hyped human interest on one side, versus reporters out in the world following stories and sharing them? The unfortunate reality is that many news outlets do shockingly little reporting.
I've long thought that there is room for a high quality newspaper with national ambitions located somewhere in middle America. I wish someone with capital would buy a paper like the Dallas Morning News, Kansas City Star, Denver Post, or NOLA Times-Picayune and try to reach a national audience with high quality reporting about the world away from the coasts on the level of the WSJ/NYT/NPR, but with a bit more culturally conservative perspective. I suspect that the reason much of Trump's America has written off the media as nothing but spin and opinion is that the media rarely engages with the realities that they are experiencing as anything other than a social problem to be solved.
All journalism is not equally bad or flawed, and good journalism can be done without infinite resources. For example, my industry's little trade rag with a circulation of 60,000 does amazing reporting. For example, here's a recent piece of boots-on-the-ground-outside-Washington reporting that far exceeds in depth, hustle, and explanatory power anything I've ever seen come out of the national arm of Fox News:
A Dying Town - The Chronicle of Higher Education
There has been a loss of curiosity about, and fidelity to, facts on the populist right. That 30% of the population's denigration of both reporting and a world constrained by facts does not in fact mean that journalism is all crap. For the other 70% of the political landscape, from the NYT to the WSJ to NPR, journalism is thriving.
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