I don't have any more equipment than you do Rolf, so what I'd do is go ahead and drill your breech, then grind the end of the drill flat, and finish off the seat in the barrel with that. Tap the barrel with your plug tap, and when it has bottomed, grind the end of it off very slowly until you have treads like you want. Then, again very carefully, run the tap in a little at a time to bottom those threads. I have purchased extra taps so that I can do the work on other projects without regrinding all the time.
When I grind off the tap, I leave the slightest taper, so that the tap's thread is not so fragile, and dress the plug as it nears the bottom, to match the thread I've cut. The plug must bottom against the inside shoulder, so there's nowhere for fouling to accumulate or for the patch to grab when you clean the thing. And the threads must be as full of steel as possible to prevent gas cutting and barrel pressure in a thinned section. There are others on this site that can give far better instruction that I - but that's the way I do it.