Great idea for a start but there needs to some sort of a lifting mechanism, like a jack, that will pull up the plug once the 6mm screw is inserted. There is not a through hole in the plug that would allow tightening of the screw to lift it out. In your model, once the screw has been inserted into the plug through the block, there's no way to lift it up and out.
I'm thinking about a very large bolt and nut, or several nuts, fully tightened, with a hole through it to allow the 6mm bolt and a bored out bottom to allow room for the plug as it's pulled. Then loosen the nut causing the bolt to lift or I need to make something and I don't have stock that large in diameter. Not to mention, I'm back to cutting internal and external threads again or buy a puller that will do this all.
Unfortunately, most pullers push down in the middle, on a shaft, and pull up on the gear. I need something that will push down on the outside and pull up in the middle.