Um, Er, Funny thing - just this morning as I was meandering around the 'estate' I was thinking, since learning
permaculture, that there are only 2 "weeds" that I hate
enough to eradicate with poison (not that I use poison but I detest them that much - haha!) and they are Poison Ivy and Virginia Creeper. Both are very difficult to control because of their woody,
underground spreading habits. And Virginia Creeper is a double whammy with birds spreading the berries. It may not be as stubborn in your zone but as soon as I see a sprig of VA Creeper I dig it up. It's not a bad looking vine and has pretty berries - that will take over your
yard and it's sneaky so you don't see it until it's already intertwined in whatever it's climbing - too much work for me!
SO! My favorite vine for shade is Loofah with it's rapid growth, huge leaves and beautiful Giant yellow flowers. It's an annual so it doesn't develop heavy destructive vines, and it produces the loofah squash which is edible when young and matures into sponges. Also moonflower which has a lovely white, aromatic flower that blooms in the evening. In a past house I built a sturdy trellis outside my bathroom window and grew a climbing
rose - natural air freshener :)
If you'd rather not bother training a vine on a trellis I'd suggest Mulberry
trees. They don't have a large
footprint, grow rapidly and can be pruned to size but make a lot of shade - with the added benefit of fruit for the birds and yourself :)