Whether you use a 30% Lye Concentration or a 50% Lye Concentration or use Distilled Water or Aloe Vera or Goat Milk or Coffee or Beer, the amount of Sodium Hydroxide does NOT change. The amount of Sodium Hydroxide needed is determined by the type of oil/butter you are based on SAP Value. SAP Value is the amount of NaOH that is needed to turn that oil/butter into 'soap'.
With that said, there are many different way to make GMS starting with the type of goat milk you use: Evaporated Goat Milk, Store Bought Goat Milk (homogenized and pasteurized), fresh-from-the-goat Goat Milk and Powdered Goat Milk. I have made GMS with the first three, but do have Powdered GM to try one of these days.
I do a full GM replacement (see post #8
Mixing Lye with Milk Questions), but I know that some folks do a half and half where they take their 'water'...use half to make a 50% Lye Concentration and then add the other half of the 'water' as GM directly into their oils. You can also use a portion of the water to make a slurry with the powdered GM and add to oils or just add the powdered GM to the oils with full water.
You can use the same recipe for GMS that you use for Regular Soap...it's how I started. All you do is replace all or some of the Distilled Water with Goat Milk. As noted in a recent conversation, Goat Milk only contains about 4% Fat...not enough really to warrant doing the math. But you can always lower your SF if you're worried about having too much unsaponified fats. Not only do I not care, but I also use Shea Butter.