Hi @AzJazz, I'm in Phoenix also and our yards sound pretty similar. I have a great looking lawn for the first time this year using the Rachio and 'eh' shrubs (I'm still working on that).
Unless the grass has been getting nothing, it's not dead, so you're in luck there. It may have some shallow roots and will more than likely not reach full potential before the end of the season but it can still look good.
Clay anything out would be hard on plants. Clay is saying that your soil really holds onto water well, which isn't th case for us. If your soil is like mine (sandy loam, AW of 0.12), you'll see the ground gobbles up the water pretty fast, and after a day the top inch or two is pretty dried out.
Until you do more specific test, I would go to Sandy Loam.
For crop coeffecient on bermuda, @azdavidr, @JPedrego both talked about 0.65, but mine are set at 0.73. I just created a new zone via the ios app and it defaults to 0.73. But this information doesn't seem to be reflected in the support documents online.
For roots depth on bermuda, I would bump it up to maybe 6". 9" is for good roots, and sounds like you might not have that since the grass is struggling.
Keep the convo going in this thread and we'll get you on track