I worked for Delta for years AND Im a flying single mom. Ive flown with my daughter many times, at 18 months she had over 10,000 airmiles, and we are flying down to Orlando in a few weeks. Anyway, you can fly with medication, there will be no problem. As long as everything is in a prescription labeled bottle, and in the ziploc bag, you'll be fine. Just make sure you pack it in an insulated bag with a cold pack. I flew from Atlanta to Vegas many times, while my daughter had an ear infection each time, and she was on liquid antibiotics. You'll be fine. But, there are pharmacies everywhere you go. Just make sure your pharmacy is one that is on a mainframe, like Walgreens...they will easily be able to retrieve your prescription with out making calls and Walgreens are everywhere in Florida. If your meds spoil, then you can always go get an emergency refill, however room temperature is ok as long as it is not exposed to excessive heat, so dont leave it in the car. (I was a Pharm Tech too.) Most suspensions dont have to be kept in a 'fridge, its just better tasting when cold and not as bitter.
However...medications MUST have the prescription label attached to it, so if you go to the pharmacy for a smaller bottle *which is not necessary since it is medication* make sure a proper label is attached.