Ok, it would appear that the primer is not of the magnetic variety, unfortunate. The commercial primers here are generally of the steel variety and can be picked up with a large magnet on a stick, saves bending over when collecting the brass back for reloading.
The suggestion was a telescopic pick up magnet because should be able to feed it through the baffles, a magnet on a string just would stick to the suppressor.
come in various diameters and lengths, some even have a hinge near the head.
http://cgi.ebay.com/Professional-Telesc ... 2559f9801d
The last thing I would want to do is enlarge the baffle holes, may as well fling the silencer away!
Figure out which pair of baffles it lies between, drill a hole 10mm or so, extract cartridge through hole. Depending on suppressor wall thickness, tap the tube wall with a fine thread and install a round head/cap socket/bolt, weld if felt required. Or just weld in plug.
Prior to doing that install the silencer on most used firearm and try to ensure that socket head cap/bolt is on the bottom so less noticeable.
Before doing the above I would spend a couple of weeks investigating other possible methods, you may yet get lucky...
edit to add: am thinking the above may not be a good idea, with your luck when drilling you may hit the slanted baffle, if going that route best take it to the smith who has a borescope, so he can check the baffle alignment and which chamber the cartridge is in prior to mill/drill. Liberty sounds a good option as well.