I've had some similar situations here in Tx and if there's a drip from the a/c you can get away with growing a lot of plants that wouldn't do well anywhere else. I've grown Hall's Honeysuckle, Daylilies, Iris, Nandinas, Boxwoods, and have some American Beauty Berries with less than 5-6 hrs of sun and no extra watering so they almost take care of themselves. Asparagus would probably work too if you wanted an edible.