Minimum necessary are TSH, total cholesterol, prolactin, progesterone. Beneficial are PTH, heavy metals, mold, and bacteria. I think you should be able to get all of these through a doctor or the idealabs hair/nails testing kit.
@hootchy I was struck by this recent development and have been doing some research. The costco brand is what I drink and they say their added vitamins are a product of lanolin. Lanolin is also used in a couple other milk brands like Alexandre and OV. I'm not sure if it is better or not.