The Internet's Finest Tropical Fruit Discussion Forum!"All discussion content within the forum reflects the views of the individual participants and does not necessarily represent the views held by the Tropical Fruit Forum as an organization."
I don't know about the heritage variety. We had raspberries and blackberries in Florida. Raspberry does worse than blackberry and some varieties are more heat tolerant than others but generally speaking they survive heat and will even produce berries but they grow better in cooler climates. I doubt that it would die.
I have grown Heritage raspberry in Florida (zone 9b). They benefit from shade and mulch when it gets hot. They don't live very long (due to disease more than heat I believe) but I could get them to last 2-3 years. I think you will fare better with them since you have dryer weather. Heritage has excellent classic raspberry flavor. There is one that would probably do very well for you called Dorman Red. It has Australian native raspberry in its parentage. The flavor is a little different.
Pete Kanaris grows the mysore raspberry. I think he’s in zone 9? I’ve been wanting to try those, I know nothing of them. We’ve grown tons of blackberries, heirlooms always taste the best. We do have one GMO variety called prime ark freedom from university of Arkansas. Puts off two giant crops a year berries 1-1.5 inches long. Fruits on primo canes, not flurocanes! Flavor is decent but the crop production is out of this world