Sadly, Tucson and Mud don't seem to go together. I did find a short, goopy run on the way to Chimney Rock north of Redington pass. Not worth a specific trip but after a major rain it can be fun.
Often there's a bit of water when crossing for Chiva falls. Tough trail but fun Here's how the water looked last time I crossed, but it was about 2 days after one of those major summer rains so it was ungodly deep