I believe that the Frio packs keep medication at cool room temperature, not as cold as 44 degrees. You can get more information from the link Cheshire Figment posted.
If you are staying at a WDW Moderate, Deluxe or Home Away from Home (vacation club) resort, you will have a refrigrataor in your room.
I have read that the Value resorts are adding refrigerators also, but not sure where in the process they are. If you are in a Value resort, you can request a refrigertor for medical reasons and they will put one into your room.
If you need to givE medication while a park, First Aid in any park will store it for you.
There is information about travel with cold medications in the disABILITIES FAQs thread near the top of this board or follow the link in my signature. Post one of that thread tells which post contains what information.