Our Lower Manhattan craft-beer NYC pub crawl suggestion is the West Village beer bar crawl.  Here are our four suggested spots, all of which are close to Sheridan Square:

Blind Tiger Ale House, 281 Bleecker Street

Barrow Street Ale House, 15 Barrow Street

The Slaughtered Lamb, 182 West 4^th Street

Galway Hooker Downtown, 133 7^th Avenue