It is all about the tech though.
I doubt their second hand repainted Chinese missiles are really up to getting past the Carrier's RAM as the Stennis has the SSDS mk2 mod 0 ship self-defence system.
If they had some of the new Rusky missiles it might be a different story.
Unfortunately getting a missile past the automated SDSS still leaves you with a lot of armour and critical systems are well protected.
Best bet is to leave them alone ... bit like my pet Shitzu that wants a piece of the neighbour's German shepard.
Best way to defeat a carrier is to have a cruise liner ful of hookers ... and lead it onto rocks.