Unfortunately, I don't think it is an easy problem to solve.
After this last election cycle it really magnified for me how biased, misleading, and inaccurate many of the news source outlets are. Especially some of the self proclaimed fact checking sites.
I found myself getting in the habit of looking up news on several sources, just to confirm. Sadly, lots of news outlets get away with quoting the original source, (i.e. "CNN reported that...")
In my gut I feel that there has to be a better solution than Snopes, Factcheck.org, or Politifact which are all are prone to a lot of the same problems.