The cell lot a TIA is definitely big enough to park the RV although there are not any large vehicle (bus,etc)spaces. You would be parking across automobile spaces. If the lot is not busy you will be fine, but I have seen the lot busy enough where you may not find enough spaces. There is not problem with height limits.
Adjacent to the airport(southeast corner) is the International Plaza (mall) with plenty of parking, and a mile or so south down Westshore Blvd is another mall (Westshore Mall). I have seen buses park in both. The International Plaza would be easiest and closer than Westshore Mall. a good backup if the cell lot is full.