I apologize for this delayed reply to your gardening question and hope it is still helpful to you.
That is quite a challenging spot for any plant to survive and grow. I think your best bets are going to be one of the many types of low growing or prostrate junipers. You will need to do some watering during establishment to help them get going but after that they will be quite drought tolerant.
Thanks for the question. Best wishes for a wonderful gardening season. Please stop in again soon!
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