my blackcaps, Jewel, thrive in partial shade

If you get more sun later in summer, you might consider a fall bearing variety.

I had a north-facing area along part of my fence that was very wet in spring and whenever it rained, so I moved a row of red (Boyne) and yellow (Honeyqueen??) raspberries there mainly to suck up the excess moisture, which they did admirably. As years went by the rasps became shaded not only by the fence, but also by an apple and two-plum trees whose crown extended over the rasps. Through all that, the rasps always gave more fruit than we would use.... not as much fruit as when I grew them in full sun before moving them to this shadier spot, but still more than we pick. Only downside is that in a big mosquito year the shaded rasps make great cover for skeeters, so berry picking can be miserable at times.

Anyhow, I don't think partial shade by itself will cause you any problems. Production won't be as much in part-shade as in full sun, but it will still be good. My caution though is that the pines will suck up all the moisture so you might have rasps starved for moisture, in which case production could be hit hard. My only experience is with an area where moisture was excessive, and in that situation the production of rasps wasn't seriously curtailed by shade alone.

We have a row of everbearing red raspberries growing along a fence that runs north/south, with a neighbors grape arbor to the west. These plants get full sun in the morning, and mostly shade in the afternoon. They are generally healthy and productive. Fruit quality is good, at least, it was good, until we were invaded by spotted wing drosophilia(SWD) last year.

I have what looks like an august red everbearing raspberry that does well in partial shade. It has about 30 suckers this year. I am going to dig them up this week end.