Actually you can get a 'fridge for extra cost.... BUT! Just tell the person at the desk you need a 'fridge for your medications and it will be free of charge. I'd even call ahead of time to let them know. Maybe you can get your room assignment early and have the 'fridge already in the oom and running. They do take awhile to get cool.
Found this out the other year, we need a 'fridge for our 1 yo's milk bobbies. When my wife requested a 'fridge at check in, the attendant gave wifey a nod and a wink and asked her if we needed it for medication. After she asked my wife the same question 3 times, she finally got the drift. Needless to say we got the 'fridge for free.