There's no real solution. In the end news firms are bought by businesses as they struggle to survive.
Businesses need profit, so those firms end up giving ground to the necessities of survival. All the firms you see today are the survivors.
The firms which don't deal in interesting stuff, don't carry much weight in the mainstream since they aren't "communicating to their core audience." And are left for those few people who have the time, patience and willingness to dig through what is today considered "long form" journalism.
These firms are in turn targeted by those vested interests who still need the facts massaged. (Cut funding! It's Biased against X groups! It follows a liberal agenda! It's conservative!)
This leads to the final 3 points.
1) a fair media is a source of power. The powerful politically minded will always vie for control or work to discredit it
2) mainstream media will continue to be a lost cause, and actual discussion of facts will be done in specialist and scientific journals. Nothing will survive the vortex of money and power.
3) fact checking is now dependent on the moral and intellectual fiber of the reader. Those people who cultivate open minds and self doubt will be the few who make the effort to know the world. (To what end though, you try to communicate and it will be lost in the vortex)