I'm definitely not a military analyst, but I haven't seen anything indicating that the Chinese are capable of employing the DF-26 as you describe. If anything, it is a deterrent against nuclear first strike which is how it's currently deployed.

https://www.cnn.com/2019/01/10/asia/china-missiles-south-chi... 'According to a report from the Missile Defense Project at the Center for Strategic and International Studies, China may have an anti-ship version of the DF-26 under development -- and may have even tested it in 2017. However military analyst Carl Schuster, a former director of operations at the US Pacific Command's Joint Intelligence Center, cast doubt on whether the DF-26 was workable as an anti-ship weapon. Using one effectively would require practicing procedures and tactics that China had not yet shown, he said. "Remember, the Soviet Union never successfully developed an ASBM (anti-ship ballistic missile) and no country in the West has one," Schuster said.'

Do you have some information to the contrary?

Forget building any more carriers.

Carriers in today's world are as obsolete as the battleships that the carriers displaced 80 years ago.

Mind you, the fact that battleships were obsolete did not stop the US from building quite a few more in the 1940s before the penny finally dropped.