Find The Shade; Make it Cool
Midday, sunny light is no easy feat. Finding even the smallest sliver of shade will help combat any unwarranted harshness. A rock, a bush, a giant canyon wall—anything. Once you find solitude, adjust the white balance to a few stops warmer than you normally would under direct light.
Shade makes it cooler (literally and figuratively), so add back that warmth by shifting your white balance to a higher temperature.