google book id PARW6eQnpE8C will yield the book "Diseases of the Sinuses: Diagnosis and Management", pg 163:
High-dose guaifenesin (glyceryl guaicolate) at 2,400 mg daily has been used emperically to reduce the vicosity of thick tenacious secretions...
Iodine-containing mucolytics (such as potassium Iodide or iodinated glycerol) have not been widely employed as guaifenesin, probably because of the concern regarding sensitivity to Iodine or the adverse effect of chronic Iodine ingestion"
Guaifenesin is what I've been taking, although about half the said dosage.
Since The Iodine Project has addressed the "adverse effect of chronic iodine ingestion", I guess we're good :)