I did a google.com search on your question, and came up with Clematis vines or several annual vines, BUT - the fishing line will snap after a short while, so I don't think that's a good choice - jmho, based on pages of research.

I have been using fishing line for years and have only had to replace a couple pieces and that was because the screws pulled out of the fence or I've cut it by mistake. I screw small C-hooks (whatever they are called) into the fence and run the line between them. I've used it for MG's, thunbergias, clematis, Malabar spinach, passifloras, Mexican Flame and canary vine. There's probably others I've forgotten. As long as it's not a heavy woody vine the line holds up well. Just make sure that you buy a strong fishing line. Fluorocarbon lines don't degrade in sunlight or water. Mine has been up for at least 4 years and it's not brittle yet. The only real drawback I've found is that it's a PITA to remove dead vines. It's hard to cut them away without cutting the line.

I use 50 lb. weight fishing line. Will thunbergias give me nice coverage. Will passiflorals really work well and also give me coverage. And how many of each should I plant in each barrel, there are 4. Thanks for your help.
Karen