With the exception of a recent law allowing for expungement of prostitution convictions in sex trafficing cases, NY does not have expungement. A pending ACD likely shows up as an ACD and lists the original charge. After the 6 month period is up, the case is dismissed and sealed and should not show up at all on most background checks. I believe it does show up if you apply for a job in law enforcement or education. If you call the Department of Criminal Justice Services in Albany they may be able to give you a definative answer as it maintains the records.
The above is for informational purposes only and not meant as legal advice.