As I have gotten older, I plant more and more fruit trees that require very little care. I also am getting more sensitive to chemicals so I am focusing more on the fruits that grow without chemicals.
Some of the more disease resistant grapes are Beta, Oberlin Noir,
Marquette, Bluebell, Trollhaugen, Mars, and America.
Since you are in a warmer region, you can also grow Shuyler, Isabella, and Norton.
You may even be in a warm enough region to grow Muscadine grape such as
Noble, Red Summit, and Red Scarlet.
For apples, I would grow a lot of Liberty and Freedom.
Your still going to have curculio problems.
Grow lots of beneficial flowers to attract beneficial insects.
Evans / Bali and Surefire cherries are reliable.
Mulberry is also very hearty.
Some apricots are very disease resistant, such as Harglow, Jerseycot, Hunza, and Chinese (Mormon).
Some of the more disease resistant peaches are Red Haven and Reliance.
Remember, usually, the key to organic fruit is to grow slowly.
Dwarfs are a good idea.
Some of the few fruits you can grow in a hurry organically are fig, currents, and blackberries.