English Ivy might be your best bet. Maybe Asian Jasmine?

How about stephanotis (madagascar jasmine)? It may not flower much if it doesn't get too much sun, but I've seen them deep under eaves, very lush if it stays warm.

I have a large stephanotis vine on a covered porch. It gets morning sun and has been flowering all summer. It has a heavenly scent in the evening. You can smell it during the day but at night is when I can really smell it! It has almost no leaf drop but the flowers do fall off when spent. I wish they would get pollinated because I read they make big pear shaped fruits (not to eat) with seeds that you can plant. Been trying to layer or start a cutting but its taking forever...

Oops forgot to post a link for some tropical vines that might do well in your area (beware some on this list are poisonous) -gives some general ideas.

Here is a link that might be useful: tropical vines