Another way of quieting it is to install a ball valve in the bottom pipe. Then close the valve just to the point that water backs up in the pipe, reducing the noise. You can use the valve to cause the water to back up in the pipe so that it is entirely full if you wanted to.
The flow will be self regulating because as the water level in the pipe increases, the more flow you will have. If there is a surge in flow into the filter, the water level will rise temporarily (increasing the flow) until it equalizes again. At first, you will need to tweak it to find where you like it best.