I think you can keep the Daily Planet as long as you treat it printing on paper as an anomaly; something of a local flavor. They're the world's biggest news publication with such a storied history, the locals in Metropolis support it because it's just a part of their culture; think about local chains that are so huge that citizens of that city can't imagine life without it. We all have them. When you travel, they disappear and you feel like a piece of your jigsaw puzzle of America is missing.
Moreover, because they're the biggest and last print newspaper, they are carried to other places for older people and those who prefer print. They're the exception to the rule, something akin to how bookstores disappeared but Barnes and Noble lingers. They are mostly an online publication now, but they keep the presses rolling for prestige and tradition which their community supports. Having a private owner like
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As for Clark's job, I don't think you need to lose it. Journalism does not pay, especially if you don't take sponsorships or bribes. He and Lois shouldn't really have a high-rise apartment, either. I know Bruce pays for it, but once Lois becomes a published author as well as the world's most trusted journalist, they can move to a nicer place but I don't like them having a penthouse suite or something. Hell, I like the idea of them having a home in a really cheap part of the country that Clark just supercommutes them to/from, but Superman should never be affluent (not that anything stops him, really). It's just not at all necessary for him and decoupling any of DC's IP from any dependence on Batman is a boon. They all need to stand on their own and Batman being their boss/landlord really doesn't help anyone.