First off, a garden hose on a spigot will not allow a fast enough flow for you to overpump the well. Generally, to clear the well you want to pump the water faster than it will ever be pumped afterward. You don't say what GPM the well is capable of nor what GPM your pump can do.
On some wells the turbidity increases when the level in the well is drawn down. If the well is drawn from at a slower rate it may stay clear. Unfortunately on a conventional pump and large tank combo, the pump runs flat out as it refills the tank and that pump GPM rate could cause turbidity. Overpumping the well to wash out the fines and open up the aquifer to increase the well GPM is one way of clearing up turbidity. It does not always work.
Selecting a lower GPM pump or holding back the pump GPM with a ballvalve is one possibility. Matching the pump draw to the consumption with a Cycle Stop Valve is another. Of course, if you out-consume the well's recovery rate, the level drops and turbidity may increase. Pumping at a much reduced rate into a large non-pressurized holding tank and then using a second pump in the tank is another consideration.