Check the logic behind Lugols in ACV. I thought that the ACV converted the Iodine to iodide, but I'm not sure if this is right or if it even matters.
Aside from cooking eggs in coconut oil, do you take additional VCO? Make sure it's virgin organic. I have been using some VCO by N_ _ foods and it is amazingly delicious - better than most. Try a tablespoon 3 x per day.
Recommend eating at home until you work through this. Just buy a bunch of fresh organic stuff and steam it at home, toss with brown/wild rice & VCO, and Sea Salt .
Simplicity is best. Lentils in a crock pot with a few vegetables and Sea Salt makes a great dinner.