I have always left the insulin in the Frio bags inside my hand luggage, just as they are, not in a plastic bag when travelling, typically one of the small size and one of the large size.. Without checking to be sure I think the Frio instructions do say not to keep them in a plastic bag. I have never had a problem with airport security. The Frio bags, insulin, needles etc aren’t usually even commented on at all. I think the only comment was one official asking my opinion on freestyle libre because he had a relative thinking of changing from Dexcom!
Enjoy your trip.