If you want something that will grow fast without any care, morning glory may be your plant. It sounds like you have lots of room for it.

Here is a link that might be useful: What's Growing On?

Drummond's Clematis would work well and cover the fence with white plumes. Roving Sailor (Maurandella antirrhiniflora), which has small purple flowers, is another good option. Both are native to the Southwest.

Ty

Hi - Have you thought about vigna carracalla, corkscrew vine.
Mine, are growing like mad in the triple digits temps. and thriving! lol. Good Luck, Mistee

Trumpet Creeper, Queens Wreath and Cat Claw all do well in Zone 9 and require little water once established.

Cat Claw will do the job. I recommend using several plants. They are water thrifty once established, and will make a lovely, dense foliage.

I wish I knew how to get rid of Trumpet Creeper! It is a huge mass of uncontrolable sorrow for us. I may whip out the round-up!