Briefly: Newspapers and magazines are struggling with "free content". Competition is out there, and if you don't make your webpage free, people will go elsewhere. If you give yours away for free, how do you pay your reporters?
First, marketplace basics. If a story you are publishing is already out there for free, then it isn't "premium content". If you have an exclusive, that's what to pay for.
Second, reward people who buy. When I click on a paid link, or use up my "free" allotment, I want some kind of good deed credit recognition, I want to be treated like the hotel or airline treats me, with reward membership. Give me credits each time I read one of your stories, with which I can buy free access to other stories.
This recipe will increase readership, which is how you really make your money anyway.
I am not a professional journalist, by the way. But I play one on the internet.