In general, the costs of running a journalistic organization (one which discovers news for itself, not just repackaging news from other media) far outweigh what people are willing to pay for this. Remember that newspapers, even in the times before radio was widespread, were always dirt cheap.
Not to mention, there is a problem of competition. Facts can't be copyrighted, so nothing can stop me from buying a subscription to NYT and reporting everything they write, in my own words, charging much less if I want to. Sure, I don't have their reputation, but if their subscription were high enough to cover their costs alone, plenty of people would chose to trust me.