OK boys and girls, Lets all repeat together:
[B]DEDICATED 22LR UPPER!!!!!![/B]
The problems that you run into using the conversion kit is that you get lead scraps up the barrel gas port, and when you return to 223 firing, the lead is just wedged into the tower port and can block the gas ports/tube. The other problem is that removing the lead scraping requires you to soak, then blow the lead back into the barrel (time to make a tube that will allow you to pressurize/blow out the tube from inside the upper).
Now that I have preached on the reason for a dedicated upper, here is the solution get the adapter out of the chamber. Start off by soaking the adapter to the chamber in CLP, chances are that you didn't clean out the fouling of the chamber at the last cut before the throat.
Now with a few cleaning rods together, insert the rods down the muzzle, threw the 22lr adapter chamber. Now add a 25Cal wire cleaning brush to the rods and slowly pull back on the rod to get the bristles inside the 22LR adapter chamber. At this point, all that is needed is to just give the end of rod sticking out the muzzle a good tap back down the barrel. The revered angle of the brush will hold/retain the device and the blow to the rods will knock it loose (out of the rifle).
P.S. I leave the chastising of the blowtorch, wedging, and prying to others. Lets just hope that you have thick skin; you’re going to need it.