South-facing walls are difficult, especially in lots of sunlight. You know the best way to get the bermuda to grow there is to plant some flowers or veggies there, and then the bermuda grass will move right in to choke them out.

The issue with wildflowers is that most of them only bloom for a few weeks before they are replaced with other wildflowers coming into bloom in their time sequentially, so wildflowers will not necessarily look good in a prime location next to the house since you'll always have some that are fading and turning brown and going to seed. I love wildflowers, but not right up against the house in a prime location.

Some of the plants that have done best for us along a west-facing wall include canna lilies, crinum lilies (be sure you put them where you want them because they form massive clumps that you'll never be able to move), verbena bonariensis (aka verbena-on-a-stick because it is tall with wiry stems), malva sylvestris 'Zebrina' (aka French hollyhocks, though not really a hollyhock, and it doesn't have the hollyhock rust issues that true hollyhocks have and it laughs at the heat), and lantana (in well-drained soil, as it won't come back if it has to sit in cold, soggy-wet soil all winter). Zinnias and cosmos also can do well on the south side of a house next to a brick wall, but be sure to plant one of the hybrids that have better disease tolerance because the lack of good air flow beside a house can lead to disease. Four o'clocks can do well on the south side of a house and, like crinums, they aren't easily moved once established so once you have them there, they tend to last forever.

I have a south-facing brick wall. Also a west-facing brick wall. I have autumn sage planted in both spots. It is doing very well. Very drought-tolerant. And so pretty! I love the smell. They make me happy!