Hi @ninglike great choice of medication!

A medicine cooler like this should be sufficient for most travel:
https://a.co/d/cKZfsBd
In case of international travel for which hotel refrigeration is unclear or during extended outdoor ventures, a cooler such as the following will give you peace of mind. This one has temperature control between 37-46F which is displayed on the lid as long as you plug it in. I've used this cooler literally as a handheld "fridge" with power banks during certain travel conditions, very convenient.
https://a.co/d/8SPnPNO
Hope you find this info useful.