OK. I found and bought a threaded barrel at CZ Custom, in Arizona. I installed it in the pistol without any problem. My suppressor is a Silence Co. Omni 9, which takes a 1/2 x 28 piston. I have both a right handed thread for my Springfield Equinox, and a 1/2 x 28 left handed thread for my B & T, MK II (which is a CZ 75 clone made in Switzerland). I have used the suppressor successfully on both pistols and just changed the piston out between uses. The Shadow 2 compact uses the 1/2 x 28 right handed piston.
I went to the range on Monday to try the new arrangement out. I ran 25 shells through the barrel without problems. Life is good. So I added the suppressor to the equation, and being fat, dumb and happy, I ran about 20 more shells through the compensator when it blew off the front of the barrel and landed about 5 feet away. There was a baffle strike of an unknown origin. The piston appears to be OK, but the threading on the barrel is stripped and has an uncertain future.
Needless to say, it ruined my day. Harumph!