Here is a list of herbs that I have found to do well in our North Dallas Area.
Several on this list may surprise you.
Aster – 24″
Butterfly Weed – 12-36″
Dianthus – 4-18″
Garlic Chive – 30″
Marigold – 6-24″
Mint – 14-24″
Natturtium – 8-24″
Phlox – 24-30″
Purple Basil – 8″-24″
Purple Coneflower – 24-36″
Rosemary – 2-4′
Russian Sage – 3-4′
Salvia – 2-5′
Santolina – 18-24″
Sunflower – 10′
Thyme – 1-12″
Yarrow – 18-30″