Instead of a closed trailer can you rent a conversion van or even an SUV for a day? Put each snake into a bag and then into a tub, stack the tubs in the van, keep the vehicle interior at a comfortable temperature while you drive. If your snakes are in a rack system now you could even use the rack tubs, just put the lids on (assuming you kept the lids). If not you could a 32-qt tub for each of the big snakes; a shipping box wouldn't be that much larger.
How many drivers do you have? Fourteen hours is doable in one day if you have multiple drivers.