Q.Wall Creepers
What are different varieties of wall creepers of perennial nature suited for dry climate?

The links below have several suggestions and care information on many perennial vining plants.
I would also suggest you talk with your County Extension Office; they will have a list of specific plants to your growing zone.
Here is a link to help you locate your nearest office.
https://www.gardeningknowhow.com/extension-search/
https://www.gardeningknowhow.com/special/xeriscape/growing-drought-tolerant-vines.htm
https://www.gardeningknowhow.com/ornamental/vines/ovgen/covering-brick-walls-with-vines.htm
https://www.gardeningknowhow.com/garden-how-to/design/lideas/using-plants-on-walls.htm
https://www.gardeningknowhow.com/ornamental/vines/ovgen/growing-plant-cover-fence.htm