If I were a huge content provider, I'd figure out a way to make it happen, perhaps through ISPs. Subsidize them to give every user maybe $10/month credit. Offer content providers a great deal to install a one-click "Read/Watch Now for 1 cent" buttons.
Rather than "Read/Watch Now for 1 cent" buttons, the $10 should be distributed to the creators of the content that the author has thumbed-up during the month (eliminating the click-bait problem); or if none, has visited over the month; or if none, distributed equally over all content in the system. Like a subscription, the $10 is always fully spent.
YouTube could get away with this now for an ad-free and higher-resolution experience (their soon-to-launch music subscription service is up this alley). But it would work better when the content subscription covered a large number of providers: newspapers, magazines, video sites, blogs, etc. The problem is that each newspaper wants to have their own subscription so they don't lose revenue from their existing stuck-on subscribers, and because they have dreams of being chosen as the one go-to source for others.