very well as long as you can spare the rainwater
town muck will kill them for sure

Dormancy will be the big problem. Sarracenia require a cold winter dormancy to grow well in the long term. Central Queensland may not get cold enough to give them an adequate dormancy. You can simulate dormancy by placing them in the fridge during winter. Reducing light in the lead up to "refridgerator dormancy" might help reduce the shock of being thrown into a cold, dark fridge. You'll have to weigh up whether the hassle is worth it.

As was said above, Sarracenia require water with a low ppm. Rainwater is fine. Tapwater in most areas isn't. Humidity shouldn't be a problem as it will be growing during the wet season. Sarracenia minor's natural range extends well into the Panhandle so it may more suitable than those from a cooler range. Unfortunately a lot of Sarracenia have ranges that extend into quite northerly area of the US so while plants like S.flava and purpurea may grow in Florida the range also extends up into the colder states in the north so you never know what part of the range the plants in cultivation come from. S.psittacina, leucuophylla and some of the rubra subspecies such as gulfensis and wherryi seem to be confined to the southern side of the US so chances are they may fair better in warmer conditions. Maybe you could look out for hybrids between these species.