Around here there's very little animal product at the farmers' markets - most of the local pastured meat, dairy and eggs are sold either at natural food stores or from small producers' doorstep (keep your eye out for signs on your rides). In the "big city" there's a central market with a butcher that sells some local meats. If there's an Amish or Mennonite community in your area, it's probably worth a ride to check out the farm stands now and then.

In the winter we belong to a CSA that gets pastured meat and dairy from not too far away, and even though we normally opt for vegetables only in our weekly basket, they can order extra meat if we let them know ahead that we want some.