I could not understand why you should want to exceed the specification of the tyre the manufacturer had specified.
Going for a higher load rating would of course cover any overload situation, but as Chrisn7 pointed out the normal selection process already covers that, so it would be pointless exercise. Unless there was a significant cost saving.
Chrisn7 has also pointed out that high load rating does man the tyre will have stiffer side walls, and that will mean they will transmit more of the road surface vibrations to the caravan, The damage they may cause will vastly over shadow any cost saving on the tyres.
I am certain there will be others who will disagree with me, but the caravan manufacturers will have done their sums and will have chosen a tyre specification that will match the weight of their caravans and are compliant with the law, so why spend time and effort in trying to re do on an armature basis what they do professionally.