I have never had a problem storing insulin in a Frio wallet and have been camping (not hotel fridge) and trekking (no holiday "home") in pretty warm climes (Venezuela, India, Madagascar, Uganda, Ghana, ...).
I make sure the Frio wallets remain "charged" and keep them out of direct sunlight.
If you have the luxury of a hotel, you may have a fridge or at least a sheltered corner to keep the insulin in.
Frio describe their wallets as "keeps insulin and other temperature sensitive medications cool within safe temperatures of 18-26°C (64.4-78.8°F) for 45 hours minimum, even in a constant environmental temperature of 37.8°C (100°F)."
Unless you leave you insulin in direct sunlight, it is very unlikely to reach those temperatures.
Take a look at their website (
https://friouk.com/the-frio-wallet/) for further advice.