To make the recipe low iodine diet compliant, just don't use any salt and make sure that the nuts you choose are raw. (theprofessionalmomproject.com)
Maybe you would be fine with lower iodine concentrations from fortified foods? (nutritionfacts.org)
The number of pregnant women with dangerously low iodine levels jumped from less than 1 % to 7 % in the past 30 years, according to the National Health and Nutrition Examination Survey (NHANES). (health.com)