You can grow a lot of veggies, but your timing has to be the thing to avoid the heat in the middle of the summer - aside from tomatoes and peppers, maybe? I’ve never gardened in Zone 7a, so my first bit of advice would be to get a few books on gardening in that zone.
Here’s some good planting data for timing of planting:
https://veggieharvest.com/calendars/zone-7-vegetable-planting-calendar-schedule/
Veggies that can grow in partial shade. There are a lot of them:
https://www.gardeningchannel.com/sun-and-shade-loving-vegetables-list/
I have a friend in AZ who calls me every February to tell me about his tomatoes this season...when I haven’t even STARTED mine, yet!
I mean, its May 30,yesterday, and I had to turn the heat in the house up.....lol....
I have some exciting things in my garden this year if they grow....trying tomatillos again, only because I thought they were tomatoes...
lots of peppers including some jalapenos for making my own red hot sauce...delicious...
I decided at age 70 that I needed asparagus and have two beds and they've been in several weeks with a only about 3 poking their heads up....cross my fingers...
some beautiful herbs coming along...thyme, and marjaram, and some oregano....dill is spontaneous with lots of it...just finishing up my quart size jar of dried dill from last season...its been a gift.
Bookmarked that second link for tunnel growing in the short days of Winter.
Thanks. My tomatoes do very well, but they get lots of sun. The peppers not too badly too, and the Okra last year did very well — but all those get lots of sun too. The problem comes if I try to expand out of that small area that gets a lot of sun.
Curiously, all my onion seed packets and starter bulb instructions call for a sunny location, but, I haven’t had much luck with onions in full sun. The article you linked to indicates some shade may be ok, so, I’ll probably try transplanting most of them. Lettuce I can’t even get to germinate, no matter what I do, so I kinda think I’m throwing on the towel on it... Potatoes I might give another try. Our clay soils are not conducive unless “improved”, which is pretty pricey in volume...
I have lots of hickory leaf and nut hull compost but it has juglone in it and despite some sources saying it breaks down in a month or so, I’ve had many sensitive plants get whacked by my “free” hickory compost from previous falls... :-(