English Garden Flowers
I've never seen either growing here.
I suspect that the moss roses would do better than some of the hybrid teas etc that I see people trying to grow, the humidity causes a lot of blackspot. Cuttings would probably be your best bet, but not sure about the law on importing such things if you're searched in customs... However, there is a wonderful climbing rose, usually cerise, semi double and lightly scented that I have seen growing all over the place and does well if you just stick a cutting in the ground. I have come to the conclusion that it is easier to see what grows well here and go with that, despite missing some old favourites.
In theory, I don't see why peonies wouldn't survive here except perhaps the extreme heat, but I've never seen them or anything that would serve as a close substitute although there are some other very exotic beauties. Notoriously, they don't transplant well, so I think seed or a young, pot grown plant would be your best bet, probably the closer to a species rather than some fancy hybrid, the greater chance of success. If I remember rightly, it may be one of the types of seed that is encouraged to germinate after a winter of frosts, so you might want to put them in the fridge for a while before you sow them. Worth checking on a search engine as it's a long time since I grew them! Good luck....I miss having a garden!
Linda.