Interesting about the CuRx bullets. I'm pretty sure I've never seen a heeled solid before I looked at their picture. The 10" twist requirement for that long shape is no surprise.
I've noticed in the past that a lot of production 22 RF barrel steel seems to be pretty soft, so this has got to be a project for a custom barrel both from the standpoint of the steel and the faster twist. Also, the $30 a "brick" cost for the primed cases means you have to want to do something special like that with it. It's not worthwhile for simple plinking fodder.
If you get another sold copper stuck, I think, rather than risk the bore, I would plug the muzzle and point it nose-down and fill from the chamber end with KG-12 and just wait a couple of days for the bullet to be eaten through far enough to fall out.
In one post the OP mentions the 42-gr CuRx and in another the 32-gr CuRx. The latter should work in a standard 16" twist barrel. The 42-gr would not, from what I can discern about its length.