Here are some suggestions. Crossvine (bignonia), which is a native.

Aristolochia elegans (Dutchamn's Pipe Calico Flower) Confederate Jasmine "Madison."

these grow fast but they are not likely to bloom in the shade, unless your trees are tall enough for it to be "light" shade.

Please DON'T plant English ivy, as it is extremely invasive and will destroy trees and invade your neighbors' lots.

I personally love Carolina Jasmine, but it will tend to spread along the top of the fence, a lovely clump. You would need to work with it to get it to grow low on the fence, as it will seek the light. To some extend this is true for everything.

I have seen people use a climbing hydrangea in your circumstances too.