You suggested a tax-funded news outlet that could focus on publishing well-sourced stories instead of keeping up with the hourly news cycle.
What you are asking for already exists [1]. In fact, the article we're commenting on is about the guy who co-hosted it [2]. Up until a few years ago, the program was even called the "The NewsHour with Jim Lehrer" [3].
[1] https://www.pbs.org/newshour/
[2] https://en.wikipedia.org/wiki/Jim_Lehrer
[3] https://en.wikipedia.org/wiki/PBS_NewsHour#The_MacNeil/Lehre...