A good friend of mine lives in Fort Myers Florida which is very similar to your climate. He grows both the big Paphs. like rothschildianum, Julius, St. Swithin and he grows a ton of Phrags as well. He has been granted a large number of awards. He grows under shade cloth outdoors and believes in lots of water, LOTS, and very good air movement. He regularly takes his plants to Fairchild Gardens for judging.
His name is Ralph Brand. He really fusses over his plants. When it is warm he has an overhead misting/watering system. If memory serves, he waters every day when it is warm.