I would be in favor of reclaiming some words like "News" with regulatory controls. Just like the FDA doesn't allow someone to label their product as "Organic" without meeting certain standards, I would argue that we should enforce some basic standards in order to label yourself as "News" or "Media Organization." It would be a slippery slope to navigate with the first amendment and the internet but there is a large group of citizens that will believe anything if it was on TV and came from the "News."
This seems like the best approach. No doubt people will continue to kick and scream about their first amendment rights being infringed upon but as long as they're not actually banned from talking it seems perfectly constitutional.