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The CCF frame is a serial-numbered part. So you'll have to buy one just like you'd buy a gun.
The tough part may be finding a dealer who will transfer one to you.
Why?
Once you transfer the parts, you'll need to file an FA-10 for the new frame #. You might also want to have the old frame destroyed by an FFL and recorded as such.
Unless there is something seriously wrong with the old frame, I say keep it and get an Advantage Arms 22 kit, and make yourself a dedicated plinker/practice gun...