For families interested in organic produce the cheapest option is a CSA share (community supported agriculture). You pay up front, but then you get a weekly amount of organic produce. Broken up over the 20+ weeks, the price is very reasonable, usually $25-$30. Families have participated in two.
White Plains CSA has the best produce of any CSA we’ve done. The shares are a nice size, perfect for a family of four or five. The pick-up is in White Plains, and there is no pick up during the Jewish High Holy Days (which can be a bit of a pain).
http://www.norwoodfoodcoop.org This CSA is in the Bronx. Although the quality of the produce isn’t as phenomenal as the White Plains CSA, the quantity is significantly more. They also offer a fruit share.