An annulment is NY via the courts is very hard to get. You would need to provide a substantial amount of corroborative evidence and IIRC it would have to go through the Supreme Court of NY State. It much harder (as I understand it) to get an annulment in NY due to the amount of evidence needed than a divorce.
The annulment process (in theory) would still dissolve your marriage and divide the assets however that path to get an annulment would be costly and long. IMO you would be much better off going the separation to divorce route or just get divorced.