I just got off of the phone with AA to go over restrictions for taking an ice chest to Exuma. Unfortunately, they have imposed a baggage embargo 6 June - 25 August. This includes:
Here is the webpage to get more information and other cities affected:
†A "box" will be defined as a six-sided container of any size, constructed of cardboard, wood, plastic or metal, which is either square, rectangular or cylindrically shaped and is not normally used for the transportation of items associated with air travel. Plastic tubs/containers and/or coolers are considered to be boxes.
If this has been posted already, sorry for the duplicate.