My two cents to the naming, and I won't continue further as I am not much fun of the "naming competition".
1. In general, I don't like regions lobbying for it. It is like brothers and sisters "fighting" for attention from parents. Not a very Chinese traditional virtue. Of course China is changing, and I am the disappearing old stock, but I love the good old values "do what you can for your people instead of asking what you want from your people, contribution, not demanding".
2. We all know the history and the specific event that made Nanjing "accursed". It is sad but I don't agree to "reward" the name of the first to Nanjing for that sad reason. Nanjing is a tragedy, but not a tragic heroic story unlike for example Humen (虎门). I have not seen any military vessels in any country with my limited knowledge that are named by pure sadness and tragic. A warship is a fighting machine, it is meant to win or die like a soldier, not to be slaughtered as a civilian no matter how innocent and tragic they are. The name is a very important symbol carrying on the fighting spirit. For this reason, I personally would avoid Nanjing, at least the first of the class.