Common Nature

A lot of veggies need tons of sun, but not all do. I suggest trying peas, beans, and salad-type greens (even some domestic sorrel since you already have sorrel growing). You might be able to grow radishes or beets or something else similar too. Zone 7 is a pretty hot place, so a lot of vegetables would probably actually like a little shade. I would just avoid tomatoes, melons, peppers, and sunflowers.

Good luck :)