I think I would catch and release

TABLE 1: Advisories for Hudson River South of Catskill, Upper Bay of New York Harbor Area and Western Raritan Bay

Women of childbearing age and children under the age of 15 should EAT NO fish of any species from the waters listed below. Other people should follow listed advice. Numbers in parentheses indicate waterbody location on map.
Waters	Eat none	Eat no more than one meal per month	Eat no more than one meal per week	Eat no more than 6 crabs per week
Hudson River - South of Catskill (2)	Channel catfish Gizzard shad White catfish Hepatopancreas ("the green stuff" also known as mustard, tomalley, liver) of lobster and crab & cooking liquid IN ADDITION: EAT NO American eel caught between Dobbs Ferry & Greystone	American eel Atlantic needlefish Bluefish Brown bullhead Carp Goldfish Largemouth bass Rainbow smelt Smallmouth bass Striped bass Walleye White perch	All other fish species not listed	Blue crab