There are a couple methods that I recommend for milk soaps when trying to
incorporate your lye. Both methods involve using a METAL bowl, frozen milk
and an ice bath. Adding lye to unfrozen milk unless incorporated extremely
slowly in an ice bath will result in scorched stinky milk. Nevermind that
the lye is damaging the milk. Properly made goat milk soap should never be
stinky!

Method #1

Create an ice bath in your sink. In a metal bowl add your FROZEN milk and
chunk it up into pieces with a knife (be careful)! Place the bowl in the
ice bath and add your lye all at once continuosly stirring with a flexible
spatula (to help get all the lye off the sides) and to avoid getting hot
spots in the milk. Once liquid enough I switch to a stick blender and
continue scraping the sides of the bowl occassionally for any loose lye and
mixing till i am sure the lye is all dissolved. This should yield a yellow
to darker cream colored lye solution. This can be done with DWCP and CP
soaping. Allow to cool or get cold in the ice bath and add to cool oils.
Cool oils and lye solution will help stop heating and discoloration of the
soap.

Method #2

Same as above except slowly add your lye over a half an hour or so and using
a stick blender to help ensure proper dissolving of the lye. Allow the lye
mix to cool inbetween additions of lye. This should yield an almost white
to light cream lye mixture. Can be used with CP or DWCP soapmaking.