Try heat resistant tomatoes. Super Sioux, Arkansas Traveler, or Creole Tomato. They will continue to produce in the heat. Either that or start early tomatoes which would have more flavor but mature before the really hot weather sets in like Early Girl.
For me, I do have to make a trade off to get continuous production. I haven't found a lot of really flavorful tomatoes that can take extreme heat and are disease resistant too. However, the cherries always do better than large tomatoes in the heat. Sungold and Sunsugar did very well and were very sweet. Supersweet 100 is prolific and does well too. Black cherry was very nice but it was not very productive. Celebrity does very well and looks nice but it is a market tomato so the flavor is on the bland side. I do like Big Beef and New Big Dwarf for larger tomatoes. Husky, Fourth of July and Grape tomatoes also did fairly well. I have not tried it but Porter is supposed to be heat resistant too. I did try the Florida tomatoes Solar Fire, but although it can handle more heat than Heatwave II, it was not disease resistant enough to last.
For people who live frost free, we can grow tomatoes nearly year round. I grew Brandywine and it was delicious but in January I had to fungicide every week and it was planted in sterile potting mix in a self watering container off the ground to minimize nematodes.