Step 1: Disturb the soil by you choice of methods (Hoe, tiller, broadfork, overseeder, etc.)
Step 2: Broadcast seed by hand. No need to worry about even distribution, since it is a 'chaos' garden
Step 3: Pack the soil by walking on it, driving over, using a roller
Step 4: NO WEEDING!
Step 5: Scavenger hunt for dinner.
Sounds like a lot of fun for very little effort, and good reward.
I saw this done in MN by a guy living in a ver basic Hogan. It certainly wasn't the most productive garden I have seen, but it did get some results. I suppose that it resulted more in him foraging than harvesting.