Insulin keeps at room temperature for a month guaranteed, and a little longer in real life. So for travels for up to 5 or 6 weeks, I would simply use my Frio pouch, never an unknown fridge and definitely not a hotel fridge.
If it freezes your insulin it'll be worthless, whereas keeping at room temperature (in Frio pouch) slowly deteriorates insulin after month or longer. It'll still work but I'd remember I might need a tad more insulin towards the end of my trip.
Longer trips need more complex solutions.