Not to worry. Our reps were in china recently to get them to build floating dry docks for us. We built lots of them during WWII.
Don’t worry, China and Korea will build them for us under contract.
/sarcasm
You are correct that there is only one drydock in the U.S. (really in the world) capable of constructing a nuclear powered aircraft carrier (Newport News Shipbuilding, Newport News, VA.). However both Norfolk Naval Shipyard (east coast) and Bremerton Naval Shipyard (west coast) have a drydock large enough to accommodate a Nimitz class carrier and the facilities to perform significant repairs.