Schisandra vine has done fine for me in the shade. I just got it last year so I haven't had fruit. Kolomikta kiwi did not do well as the sun is too intense here. If you are in zone 7 then arguta would be a better choice. I believe Harvestman said he liked Rossana.

Thanks for letting me know! Since this will be my first time growing vines, I will need to figure out a good lattice to put up next to the wall.

Lattice may not be the best type of trellis for a fruiting vine. You want a trellis that will allow you to reach through to havest fruit on both sides unless you can walk to both sides. Also, different types of vines climb different ways, some with twining stems, some with aerial roots, some with tendrils, and some with twining leaf stems (leaf petioles) and so not all trellis types work for all types of vines. You will want to research the best kind of trellis for the kind of vine you will be growing.