You have nothing to lose. Try to keep them. But I am not sure if raspberries are well adapted for your area. What's your hardiness zone map?

I would guess that they are dead, but you might want to hold on to them a little longer. I'm worried that you saw leaves that died back which is usually a sure sign for me that the plant isn't going to make it. How long ago did you pot them up? I'm going to guess that it was a water issue rather than heat that did them in, but the heat certainly doesn't help matters. It is difficult to keep bareroots correctly watered because it is easy for them to get too wet when the plant is still dormant and doesn't need much water. But the top of the plant will dry out easily once it starts to leaf out which is why the heat can really hurt them.

I'd give them another week or two but if they don't show growth soon then I'd toss them.

Keep watering them for sure, they still might grow. Raspberries don't like hot weather, and your new plants are very vulnerable. If these don't make it plant as early as you can next year, or if you can get plants, it might work better for you to plant in the fall after the hot weather.

There's still a chance you'll get new growth coming from the roots. Most commercial fields in the PNW are planted with root cuttings, and not plants.