Bermuda grass sounds like your best bet. If you take a look at this varieties chart (
https://ngturf.com/varieties/) you can see that Bermuda is drought and disease resistant, needs less fertilization than other varieties, has the best traffic tolerance, and needs mowing less frequently.
In this article (
https://ngturf.com/caring-for-bermuda-grass/) NG Turf, a sod farm in Northern Georgia (USA) states that Bermuda is often chosen for its ability to tolerate heat and rebound from drought which helps it survive hot, dry environments. Bermuda can thrive in a wide variety of soils, grows rapidly, and restores itself quickly.