Flooding might be a bit excessive but its better to water less frequently with more water as the water penetrates deeper and encourages root growth so the plant becomes more tolerant of lower water conditions. Watering the lawn during the hot parts of the day is silly in any climate.
Best solution is to get rid of most/all of your lawn if you live in the desert with limited water, ie. no large river or something.
Best solution is to get rid of most/all of your lawn if you live in the desert with limited water, ie. no large river or something.