One permanent solution to weeds originally mentioned, multiflora rose, honey suckle, Japanese barberry, Oriental bittersweet etc, is shading them out as you mentioned, they all like sun I think.
You could plant usefuk trees for a canopy, then full shade tolerant edible plants or mushroom or fungi in understory. Might take a long time to get a canopy main problem.
My place has an area of mature holly, ilex aquifolium, growing wild, only a few shade loving native edible ferns growing underneath and no weeds at all. Mosty bare earth. I decided to leave them there as they are holding up the bank even though a mild stimulant leaf tea ( containing theobromine, like cocoa )is their only use I can see.
I have spent a lot of time reading up on full and deep shade edibles, there are many but mostly little known, such as broad buckler fern, ginseng, umbrella plant and palor & pacaya palm- the flower shoot is a commercial crop in Central America, and many others.
Mostly doing well.
I don't know if this would suit your site or intentions, but one way of avoiding weeding sun lovers IF you don't enjoy weeding.