In fact, I'm not even sure that the liberal media establishment will change their tune if the New York Times, LA Times, ABCNBCCBSCNN headquarters were destroyed. Well, maybe, but I'm not gonna bet the farm on that. I might bet the doghouse. :)
Well, even if NYC and Washington were both destroyed, it wouldn't be enough of a hit to take ABC, CBS or NBC off the air. They'd be utterly decimated, but they have bureaus all over the country and the world, and in the end all any of them would really need is a single bureau with a satellite uplink to run the entire network. (If there's no Master Control in New York, then that network's slots on the satellites are open to whoever knows the right codes to take them over. And any affiliate from Buttmunch, South Dakota with a satellite truck could do that.) And CNN, of course, still has the vast majority of its operations in Atlanta. (The same goes for Fox. In a pinch, they could operate out of LA, or use Sky News in London as their temporary home base, etc.) In short, no mere couple of nukes will shut up the TV news media.
That said, one of the few things that journalists take even more seriously than liberal ideology is their collegiality and their belief that all who work in their field are sacred. (Not nearly as many people would know who Daniel Pearl was, for example, if he hadn't been a Wall Street Journal reporter.) If NYC were nuked and half the people they've ever worked with were atomized instantaneously, I have little doubt whoever was left would be on the air on all channel absolutely screeching for immediate US reprisal.
And unfortunately, even the New York Times could probably continue publishing after an NYC nuke. They have plants all over the country, and own other papers all over the country. So the National Edition at least could keep on limping along.
In short, the "mainstream" media are like cockroaches. Nothing will kill them. At least, nothing but a complete loss of viewership and circulation.