I have seen one built out of 13'' car tires stood up and bolted together to form a hollow "tunnel" then placed fiberglass attic insulation stuffed into the tires and he fired a PB rifle through it to deadening the report and he didn't use hearing protection. The tunnel could be made from sonotube (for forming vertical columns of cement) from the lumber yard and forming a wire tube from 1/2" hardware cloth/ screen and support it inside the sonotube to center it inside the sonotube with 3 pieces if wire at the front and back. Then fill the space BETWEEN the sonotube and the wire screen tube with fiberglass insulation. The wire screen tube needs a diameter large enough to allow your line of site and line of pellet to both pass through the " sound deadening tube" without striking the screen. do not use window screen. So you end up with the 1/2" hardware cloth wire screen tube running down the center of the heavy duty cardboard sonotube with fiberglass insulation in the space between the wire screen tube and the sonotube. I would use 14" or larger sonotube and a 5'' -6" diameter hardware cloth tube and non backed fiberglass bat house insulation. The sonotube should last a long time in the weather, but if you cover it and the open ends with a tarp to keep wind,rain, snow, birds, etc out it will last. Experiment with placing the muzzle 6" to 12" into the wire tube for best results