Hi Halvard,
I'm
hoping to achieve no till, but I'm at a very early stage and my growing area has highly compacted silt (historically ploughed for potatoes and then trampled by sheep). At present therefore I'm at a soil remediation stage and aim this year only to grow in a small area to start some vegetable landraces. You can read about my project
here, but it won't be directly relevant for you I'm afraid.
You could have a look at this thread, which may give some pointers:
https://permies.com/t/44848/Natural-Farming-Barley-experiment
Or search in
https://permies.com/f/104/fukuoka forum for "spring", "barley" etc. and see what looks hopeful.
I think that the "do nothing" technique always needs a bit of tweaking to suit the climate, crops and location. If you can share your experiences it would be very interesting. Particularly for those with more land to manage.