You've got enough sun for just about anything you want to plant, everything you've mentioned and if you want a quick screen try morning glories. I have a north facing balcony and I've grown a lot of vines. I have four clematis and grow morning glories every summer. The clematis takes a little longer to get big (2-3 years), while the annual vines get big fast. You'd have to plant more than one clematis for it to serve as a screen, maybe 3+, and several morning glory seeds too depending on how wide you want your screen.

Thank you so much for your advice! I was even considering Thunbergia Sunlady as well...I really want to cover the lattice! I was going to put one 16 inch pot in each corner of my balcony and have a vine in each pot...

Gus

You're welcome! I love the Sunlady. Keep us posted.

My balcony is 4' x 26'. Here's a couple of pics from last summer.

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Fortunately I have a divider from my neighbors.

Great pics! That's cool that you have a long patio...I will do what I can with my little space--and I look forward to it! It's gonna be a work-in-progress: I moved here last July so I really didn't do much in the way of plants. This year is a different story! I'm a Grounds manager for a college and I can grow alot of stuff in our greenhouse which is great! I'll take some pics at some point...

Gus

Gus, must thank you for the pics!!1 I always love to see examples of what others have done with their balcony.
Please keep it up.