N.Y. Debt. & Cred. Law § 126
The papers, specified in the last section, may be served, either upon the creditor or his representative, or upon the attorney whose name is subscribed to the execution; and, in either case, in the manner prescribed in the civil practice law and rules for the service of a paper upon an attorney, in an action in the supreme court. Where it is made to appear by affidavit, to the satisfaction of the court, that service cannot, with due diligence, be so made within the state, upon either, the court may make an order, prescribing the mode of service, or directing the publication of a notice in lieu of service, in such manner and for such a length of time, as it thinks proper; and thereupon, it may direct an adjournment of the hearing to such a time as it thinks proper.
N.Y. Debt. and Cred. Law § 126