Well, again, agreed vis-a-vis simplicity, but I don't mind at least approaching the question in its current form.
If I'm assuming my task is to sink the enemy CSG, I'd need a lot more information about where it is, how close it is to the PRC coast, the escort force, what other naval assets are in theater on both my and the PLAN side, what kind of anti-shipping threat we're looking at (if the answer is "unattrited," well I'm going to turn tail and run, because 500nm is WAY too close if it's the East China Sea, or it's literally just a loss from the start if it's in the South China Sea. I cannot emphasize enough, you do *not* survive in the SCS while only 500nm off the mainland cost.
I'd be curious who has opcon over those B-52s and F-22/35s, and how they'd integrate into my force. Are there any other assets at my disposal, or is that all? Additionally, where are those B-52s and F-22/35s coming from? Am I able to provide tasking to them at will, or must I wait for another force to hand over opcon of the aircraft as they enter my AOR?
Specificity is the beating heart of useful analysis.