The box of thyroid pills we have says to keep it between 2 and 8 degrees C.
My plan is to wrap insulin and thyroid pills in bubble wrap, put them in a small picnic cooler bag, together with frozen freezer/Esky blocks. and put the cooler bag into checked-in luggage and hope for the best.
If we get to Italy and find the bag was frizzled in the Middle East somewhere, just show the medicine boxes at an Italian pharmac_, and they happily give one replacements (though it may cost more than here, though sometimes the reverse is the case, and antibiotics are cheaper than here).
I guess the interesting question is whether the sealed frozen Esky blocks would be allowed on the plane in hand held luggage? I guess several 100ml ones would be okay.
Regards,
Renato