They should be fine that way until you get there, I would think. You could try giving them a drink of water in the evening, especially the beardie. Make sure you put something absorbant in, in case they pee.

You can use shipping heat packs or hand warmers to keep them comfortable. A very important consideration is that you can NEVER leave them in your car during the day time, not even briefly--any bit of sun will spike the temperatures so high, so fast, you could lose them in a very short time. If you have to take a rest stop, crack your windows, and park in full shade, and keep it short. Don't go in and have lunch for a half hour. Take thermometers with you, so you always know what temps you're dealing with in your vehicle! It's going to be HOT in FL.