There are many fine breeds of egg layers. even the hardiest have to have extra care in extream weather like fan ect...
The mediteranian breeds like leghorns, or american breeds like Rhode Islands , sex links, ect... ect...
My husband has australorps, they are egg machines. Not the prettiest bird but production is thier middle name, .Australia had severe heat this last year I would be interested to see how it affected the whole poultry industry down there and what breeds weathered it well.
In the end you can look up list of good egg layers then decide what appeals to you. Rhode Islands always did well for us, aussielorps did OK but liked cool better,I find thier eggs in mid jan. the leghorns seemed to shrug off heat.