Hello, I had a Z type in china and overstayed.

I already paid the fine and they said since it was the first offense it was no problem, just the fine. I am back in the USA in New York. What type of visa should I apply for? I had to leave china and my diploma is still there so I can't get it.

Also, I am a USA resident of North Carolina, so the NYC consulate is not my district. However, it is the only convenient consulate. Can I still go there?
Thanks,