You could also get a plunger and drop it to the bottom on 1" rods, then hoist it out real fast. This will pull a good vacuum on the well and screen. With any luck it will bring water and cuttings with it.
When we drilled 2" wells many years ago, the casing was galvanized and was put in the ground first. Then we cleaned it out using the jetting method. By drilling ahead of the casing, you could see what you were going through by the cuttings that were coming back up the casing by circulating water. Once into the water bearing sand and gravel, we would knock the casing to the top of the vein, clean out the casing one more time, then knock a 1-1/4" screen out the bottom with only 1' of pipe up in the casing. Then we would drop a Bremer check down the well. It had a leather ring on the bottom that sat on the coupling on top of the 1-1/4" pipe. It had a big rubber above the leather and a brass ring. The body was tapered and barbed. We then went back down with a plunger, smacked the Bremer on top to seat it, then went to pumping. The Bremer also had a poppit (check valve) built in. Kick the walking beam in gear and the up down motion of the walking beam pumped the well. Kind of like a deep well hand pump.
bob...