America's most productive "provinces" are not on the mainland, but in the form of SK and Japan. Those regions are ranked 2 and 3rd after China in semiconductor production and shipbuilding. They also have most of the heavy industry that US empire can access. If you're feeling spicy, Australia too because of its abundance of raw resources.An invasion is not going to happen but an attack is possible. How about using ICBM's with conventional warheads?
Granted an ICBM is probably the most expensive way to deliver a bomb measured in (cost per kilogram) so the quantity of the payload and the number of missiles would be very limited. I'm not sure how much military value this would have but a successful attack on the CONUS would have a very powerful psychological impact. Americans are not accustomed to the actual mainland under attack.
If China captures these regions, US will be unable to replenish advanced weapons and unable to sustain international civilian shipping industry. The ability of US to build ships by tonnage is 230 times less than China and 100 times less than SK.
With these areas under control, China can also blackmail any third party to stop trade with US, or else risk not receiving any vital civilian goods.
China cannot credibly move against the US mainland at the moment, the distances are too large and the number of troops needed too many. However, taking inspiration from the strategy of Japan in ww1 and ww2 which was also facing a more populous but less industrialised power, the goal to subjugate a larger power can be achieved by waging a first war to seize the opponent's most productive regions, inducing despair and political turmoil in the enemy state.
After consolidating an occupation of the 2nd island chain, China can then project power freely into the east Pacific, letting them shape and threaten US as needed. Without it's most productive regions, US can only sustain lower tech industries, and will not be in a position to challenge China again.