Thank you very much for responding to my question. This is the answer I was hoping for.
The most common cause of low thyroid is autoimmune (hashimotos). The high cholesterol is due in part to decreased liver receptors for cholesterol in the setting of hypothyroid. My advice: fix the thyroid first, then consider lipid medications. THere is an inc'd risk of muscle damage due to crestor type meds in patients with untreated hypothyroidism.