Most herbs love spots like yours, you can even mix culinary and
medicinal herbs should you want to go that route.
Other plants to consider are; any of the squashes, the shade will actually help them not wilt in your heat.
with the drip irrigation in place, lettuce might do pretty well but the heat would turn it more bitter if it didn't kill it.
We have a shaded space fairly similar to yours. We use the space for our culinary herbs, rosemary, chives, cilantro, mints, basil, sage, parsley, thyme, tarragon, etc.
The space gives us all the herbs we use on a daily basis plus some that aren't used as much.