It is probably good to stay away from soy milk whether you are NSD or not. Too much un-fermented soy interferes with thyroid function, contains estrogen-like compounds (undesirable especially for males), is high in oxalic acid which blocks the absorption of necessary minerals (and may actually deplete these), (if a large, mass-marketed, national brand) is most likely processed using petroleum based chemical solvents, and may very well be GM soy (frankenfood).
A better option is rice milk (it is starchy however), almond milk, coconut milk, or hemp milk. I personally prefer almond milk. I have found one brand that does not test starchy, however it is safest to make your own almond milk using blanched almonds if you are strict NSD.