Sounds like you worked out a solution. Good.
Just a brief reply to your last post...
You won't be able to cut threads into the plug face at this point. It has to be done at the same time the rest of the hole is threaded, or not at all. As Keith noted, if the drill runs against the face of the plug, it will make an oblong hole. And as you yourself mentioned, if the tap runs against the face of the plug, the tap will similarly make an oblong hole. If you try to add threads to the face of the plug after the rest of the hole has already been tapped, it will similarly damage the threads. So it’s probably best not to tinker with that at this point. Sorry if my comment about that above was confusing.
Regarding pulling liners… Yeah, they are easy to pull out by drilling out the touch hole slightly larger, and then using a bolt extractor, which is basically a hardened, tapered-thread screw with left-hand threads. As you twist the left-hand threads into the hole, it causes the liner to rotate counter clockwise, so as to unscrew it. If you want to see one, just google "bolt extractor".