Really need cultural information from before you set these out.
Just looking at your pictures, my first thought is that someone waited waaaay tooooo long to set these plants out.
And.... there's no way these plants were happy in those tiny containers if they were grown in the area where they were set out...
Therefore my suspicion is that maybe they were sheltered and shaded while in the pots to prevent the roots from being scorched in the hot desert sun...
Wouldn't seem to have had time to acclimate or harden off before being thrust into the outside bed...
When I look at the roots, I'm not seeing fungus...
I found your post at dave's garden... and I still don't see fungus.