On the other side, I rarely read the New Yorker. I enjoy the occasional article that pops up here, but I wouldn't pay to read any of them. They'll lose me as a reader by going behind a paywall.
[1]: http://www.newyorker.com/magazine/2014/07/28/note-readers
There are extensions available for every major browser that will let you set detailed cookie policies, such as wiping per-domain cookies once every x hours or x days.
This can be set up once, and then be completely transparent to the user afterwards.
Then why should they care about you? If you're not willing to give them money you shouldn't expect them to give you content for free.