Josiah: I posted about similar issues with Amiodarone years ago as have several others since
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Amiodarone is known to cause thyroids to go from normal or hypo to hyper and it happened to me after about 2 years of taking the drug, and it happened quickly.
The UCSF Endocrinologist's simplified comments were that all the iodine in the Amiodarone simply burned out my thyroid. He put me on Methimazole for about 6 months and I ended up taking an organic supplement (Naturethroid), ever since. He prescribed the natural form as it contains some of the other T's whereas Levoxine, et. al., only contain T4 as many docs think that with enough T4 the body will make its own other T's.
A personal recommendation of his is to keep my TSH between 1.0 and 2.0 instead of the, "normal", range of 0.6 -3.6. He thinks its better for nerves among other things.
Gordon