Photo update after a few months. Raised nutrients and have been dosing silicates to encourage diatoms. It’s a little encouraging to see what looks like a few diatoms.
Dinos are no longer visible. It’s been weeks with the sand this clear.
What worked was silicate and phosphate dosing followed by an extended period of no/reduced light. My tank had few corals so it was possible to pull the small frags and run the tank with little to no light for weeks. I ran high nutrients with the silicate dosing until everything was covered in hair algae and diatoms. Urchins helped clear up that mess.
Thanks @Idoc for the quick response that set me down the right path.