The space I got condensation on insulated duct is a fitness center in South Carolina. Trouble shooting revealed a failed control valve resulting in SA temperatures below 50°F. Once the control valve was replaced and SA temperatures where back to design, condensation disappeared and hasn't been an issue since.
As for code, check in your copy of the Florida Mechanical Code. In International mechanical code (to which I happen to have easy access), section 603.12 states "Provisions shall be made to prevent the formation of condensation on the exterior of any duct." Having worked with FMC in the past I know that it closely mimics IMC (early versions were identical and last I checked there were few differences) and would be very surprised if this verbiage is not in it somewhere. Don't expect any code to say "provide insulation on ductwork" because not all ductwork is sheet metal or requires separate insulation.
HerrkaLeun posted earlier about supply air being 55°F, this is a very common temperature for supply air. It also happens to be the dew point for air at 75°F and 50% RH. However, since no-one can guarantee that your space will never stay at this temperature and RH (you will have people in the space right?), the dew point is going to go up and down as well. So any surface that has a temperature close to 55°F is going to be subject to condensation, this includes uninsulated metal duct. Therefore to meet building codes, something needs to be done to raise the temperature of the surface of the duct. The easiest, cheapest, best method is insulation.
I don't know if I missed it earlier or not, but for the architect to want BOTH ductboard and liner is overkill. Go with one or the other.