Clark, I succeeded in growing a good crop of red raspberries down here by planting them in the shade. We're supposed to be both too hot for them to survive, and also not cold enough in winter for them to fruit the following year. We had a very mild, low chill hour winter. Since they put out many new canes and the summer crop fruited really well, that indicates to me that the second reason is wrong. They are on a lower area of a slope as well as being shaded. They still get watered once a week when we aren't getting summer rain, but that area, being downhill and also closer to my drain field holds moisture longer.
The amount and timing of the shade also appears to make a difference. The end of the row that has almost continuous shade does not thrive as well as the rest of the row. They do like shade in the high heat, but appear to be telling that there is a limit to how much shade is beneficial.