Fava beans and Barley are hardy in zones 7-10. Wheat is hardy down to zone 5.
The gluten-free grains (sorghum and teff) are summer cover crops.

Cover Crops that are Food Crops

Banatka Heritage Wheat (spring or fall)
$2.95
$2.95
Heritage Winter Wheat Maris Wigeon
$2.95 - $6.95
$2.95 - $6.95

Only a few left!

Hard Red Winter Wheat
$2.95 - $7.95
$2.95 - $7.95
Heritage Winter Wheat Turkey Red
$2.95 - $13.95
$2.95 - $13.95
Agricultural Mustard
$2.95
$2.95
Ivory Teff
$2.95
$2.95