On the idea of the “-site:xyz.com” trick, perhaps one could create a browser extension or a bookmarklet that would use javascript to take the URL in the browser bar and massage it to return the requisite string and then execute the appropriate search so that with a simple click of a button, anyone can “remember” how to do it?
Similarly with searching for the root URLs of particular outlets by clipping off the longer paths of URLs one could use a browser bookmarklet to accomplish this with a simple click and save the seconds involved with highlighting and pasting? The more dead simple and quicker it can be, the better off we are. I’ve documented a browser bookmarklet on my site that trims news article URLs down to the base URL: https://boffosocko.com/2017/03/27/to-amp-or-not-to-amp-that-is-the-question/
As an example of this type of functionality, albiet probably with a lot more programming and manual work, Brill’s company NewsGuard has developed a Chrome browser extension that is meant to provide visual indicators on pages and in search for levels of fact checking: https://chrome.google.com/webstore/detail/newsguard/hcgajcpgaalgpeholhdooeddllhedegi?hl=en
After installing the NewsGuard extension, I’m noticing that it actually adds its visual indicator into individual tweets with links to news sources similar to the way that the Pocket bookmark extension does.