We already know the way. It's the cable/streaming model.
You pay for a single monthly subscription and get access to substantially all of the major news content.
What would need to happen for this to be possible? Cooperation between most of the major news outlets. Not cooperation in an anti-competitive sense, but willingness to participate in this sort of business model.
I'm a former news editor and left the industry because the business side couldn't figure out a viable business model.
I realize and feel deeply the loss we experience (especially at the local and state level) when quality journalism dies out, and I would love for the industry to recover.
But they're not going to do it unless they recognize that single-site subscriptions (or micropayment transactions) aren't going to cut it.