I just called Good Karma about their flax milk, and was told the 64oz original flax milk is made in a facility that does not have any peanuts or tree nuts! :happydance:
Other products can be run on shared lines, and in addition to cleaning, they test each batch for cross contamination.
I did not ask about milk.
http://www.goodkarmafoods.com/ (http://www.goodkarmafoods.com/)