Reading the news often makes me frustrated and angry, and I really can't do anything about what the news is reporting on. Considering giving it up entirely and purposefully avoiding the news.
I had a similar feeling, though made a compromise that I feel works better than avoiding totally - once a week, read a wide-ranging, reliable news source, like The Economist. Even better, the paper version.
Going back to a paper version does have a certain appeal. I usually only read the physical version when I'm on a plane or in the airport.