Realtors are told to avoid working with people on government programs (Section 8, LINC, FEPS, etc.) The reason is even though these programs pay the commission to real estate brokers, it's not enough for the time involved and since agents are self employed, they need to work with renters who don't have any programs and can afford the full regular rent.
I'm a former real estate agent and very few agents will work with people on programs. The difference in commissions is huge between the government programs and regular market rents. Why would an agent waste their time when they can make more money with market rate renters.
Your best method is to try the NYC Dept. of Housing and see if they have anything available. I would also look in the Bronx.