I have a well that makes grey muck, and I pump it all the time at about 100 gallons a day, watering things. [vacant land]
Recently a pipe broke, it pumped down to the pump, shut off on low pressure switch, brought in tons of muck, and took about 20 jogs to get the pump restarted to get the grey out and clear water back again.
I lined the entire well with 4" slotted pvc, as I was getting the intake plugged with rocks. Now I get just the fines, and the pump can clear that, sort of a clay/shale powder. The well makes 2GPM, so when I finally use it will try and pump no more than 1.5 gpm to keep from drawing it down and sucking the powder out of the strata.
Overpumping may be counter productive, try pumping at 3gpm for a week and see if it stays clear.