Raspberries: I've grown Fall Gold and Heritage. They really didn't do well in the heat and humidity. I've heard good things about Southland.

Blackberries: I've grown Arapaho, Apache and Triple Crown and all did very well although the Triple Crown was hands down the favorite of the june bugs and japanese beetles. The Arapaho was my favorite and was relatively untouched by pests.

At the new place, I chose Ouachita, which is a relatively new variety and another one from the U of Arkansas. It's too soon for me to say how well it's doing in this area, but it survived winter with leaves intact.

http://www.aragriculture.org/horticulture/fruits_nuts/Blackberries/default.htm#Arkansas%20Varieties