To my knowledge, there is no such thing as an aphid free rose. A rose's resistance to pests and diseases depends largely on their health. If the bush is a hardy, vigourous growing rose by nature, and is given proper watering and feeding, then it would likely not be as susceptible to aphids as one that was weaker.
I have, however, listed a few roses that fall into the category of hardy, vigourous, disease resistant and all appropriate for Zone 7 and higher (I think you need around Zone 10ish):
"Honor" - (aka JAColite, Michelle Torr) is a hybrid tea. It is pure white in color. It was bred by William Warriner in the US in 1980, with it's parentage being unknown.
"Heirloom" - (aka JACbloom) is also a hybrid tea. It is a mauve blend in color. It too was bred by William Warriner in the US, in 1972, and it's parentage is seedling X seedling.
"Miss All American Beauty" -(aka Maria Callas) is also a hybrid tea. It is an intense, light cerise in color. It was bred by breeder Meilland in France in 1965. It's parentage is Chrysler Imperial X Karl Herbst. There are 98 varieties in it's bloodline.
"Yankee Doodle" - (aka YanKOR) is a hybrid tea as well. It is a yellow blend in color. It was bred by W. Kordes and Sons in Germany in 1965. It's parentage is Colour Wonder X King's Ransom, and it has 133 varieties in it's bloodline.
The last one is not a hybrid tea, but a groundcover shrub rose, that is supposed to be particularly resistant to insects.
"Rosa NOAtrum" - (aka - Pink Flower Carpet) is obviously pink in color. It was bred by Werner Hoack in Berlin Germany in 1990. It's parentage is Immense X Amanda and it has 126 varieties in it's bloodline.
I'm not sure how much this helped you, as there truly isn't an aphid free rose, except one that is very well taken care of!!