1) Attempt to remove obstruction with a ball puller - drill a small (1/8") into the material as a starter hole for the ball puller. This is your best bet for removing the material. If the puller will not thread into the material, then:
2) Remove the nipple and thread a drain kit into the nipple hole. The kit consists of a special nipple and length of hose; they are available from Deer Creek Products 765-525-6181. You will need the kit with the M6x1 thread, AC-1631. It's about $5 plus shipping. Once the kit is in place you can pressurize the hose any number of ways. This is not a high probability of success, nowever. If it doesn't work, then:
3) Deer Creek products may be able to sell you a new barrel. CVA no longer maintains parts for those old kits; they referred me to Deer Creek when I needed a replacement lock for a CVA kit I built in the 70's, and they did have what I needed. You will probably have to finish the metal, however.
I would not try to remove the breech plug as that takes some pretty heavy duty tools and experience. Heat is also not recommended as overheating the barrel could damage it's material properties significantly. You might fool around with the breech plug or heat once you know you can get a new barrel.