I asked a similar question here:
https://permies.com/t/47182/Rick-Food-Plants-Shady-Forest a few years back. I'm zone 7/8, but my climate is different from yours (we don't get very hot in the summer and we're at a higher latitude), but maybe some of the suggestions might work.
People suggested red huckleberries, lowbush blueberries, salal, oregon grape, ramps, ginseng, goldenseal.
I believe serviceberry also handles shade. The native salmonberry, thimbleberry, and blackberry also handle shade as long as they get some indirect light (they don't like living right under big ol' conifers, but don't mind hanging out under deciduous trees). Wild strawberries also like shade. Bunchberry (related to dogwood) is a shade groundcover with edible berries. Violets and pansies like the shade and are edible. Miners Lettuce and Siberian miner's lettuce are also shade edibles--the whole little plant is edible. Some currants also do alright with shade. So does some elderberries. If your woods are wet, you might also be able to grow wasabi. Mint will also grow in the shade (you'll probably want it in a pot just to make sure it doesn't take over). Nettles are also edible and very nutritious and should grow in the shade.
I hope that helps!