Fixed buffet-style fee would be difficult. Per-page micropayments, however, could be accomplished with some form of blockchain (probably not Bitcoin though, it's collapsing under its own weight as it is), perhaps with an extra layer of anonymization to get rid of tracking. The problem with micropayments is greed: publishers think their content is worth vastly more than it really is.

If I knew how to do buffet-style scheme for this without involving things like carrier billing and DNS tracking, I'd be working on my own startup RFN. This could undo the likes of Google and FB and make the web a much better, and much more private place.