TBH just go with nuclear next. Forget about conventional. A nuclear powerplant is really nothing new and not even that hard compared to other tech China has. By the time 003 is ready say 2023 they can start designing the ship. Yes, it will be a bit slow to get ready, but it is not like China has so much J-31 and need a carrier right now. You can always have more carrier plane than you can hold as spare somewhere. When the nuclear 004 is ready they can start pumping out 2 ships at once.