Tourist - If the Chinese intended to sail their carriers 200-300 nm off the West Coast and bomb the crap out of Las Vegas, they would of course be very vulnerable. They would be vulnerable in an all-out conflict anyway, but the idea is more show-of-force than anything else. Their best defense is the idea that if anyone sinks a Chinese carrier, they're apt to lose an asset of their own.
Which is where ASBM becomes a very interesting idea. Not particularly expensive to buy, very cheap to operate, extremely hard to destroy on the ground (the range vs. theater size gives you a lot of China to hide in). Developing the RV is the biggest job. The technology is only a step or so beyond Pershing II, and you can dial-in a lot of different effects, such as a load of deck-puncturers that would leave the CVN afloat but with the cats and elevators hosed.
The hard bit is the targeting, although these days even small UAS can do that, not to mention satellites like Kondor-E. (There was a model of a truck-mobile satellite launcher at Zhuhai in 2014.) Of course, your targeting isn't really credible until you've got a realistic target to practice on. Which China now has.