It is illegal to make a supressor that can be mounted on a firearm. Therefore, if you make a supressor for your air rifle, it must be permanently affixed (much like muzzle brakes on post bans) or designed to not function with a firearm using fixed ammo.
Well, I thought about the latter and then realized if one were to use subsonic or CB ammo out of a .22, a supressor that would be legal and effective with an air rifle would be equally effective with such a firearm/ammo combo and the JBT's would have a case. You might beat the rap but not the ride.
If you go the permanent affixed mode, you still have to install it and then acquire/make the internals. If you ever had any thing that the internals would fit into, the JBT's could get you on conspiracy to fabricate a silencer.
If silence is your game, why not try one of the medium power springers? Pre-charged pneumos are very noisy in comparison. Springers also last a long time (5000 rounds is common) and rabbits are not difficult to dispatch with even an RWS 34. That rifle is much quieter than say the model 48, especially after break-in.
If you do want to go the permanent route, make sure you have explicit approval on your plans, including the steps of assembly/procurement. It pays to open a civil dialog with your local branch office in these matters.