We had a similar start to our stay at CBR in April. We were also assigned to a room with a very strong odor which I thought to be smoke in Martinique. Housekeeping assured us it was NOT smoke, it was mildew and mold. I did get us moved to Jamaica but it was a rough start to the vacation. Midway into the trip, our Jamaica room had a funky odor when AC was on. By the end of the trip we were all sick. I did e-mail guest relations and had a call back after we returned home. Sadly, it sounds like nothing has been done about the mildew odors in the rooms. We liked many aspects of the resort but we won't stay there again due to this ongoing issue as well as the layout with the main desk so far from everything.
I would demand a resort change-I could NOT have stayed in that room they assigned us in Martinique. We loved the location of it and tried to stay but after an hour our heads were pounding. If that is the only option for a room at CBR ask to moved-maybe over to French Quarter or Riverside. Good luck-I hope you are able to switch.