For something like that, my choice would be to use sewing thread, reinforced with klarg's superglue technique. It won't hold any weight, but you can adjust the length of the thread to make it just as slack or tight as you want, and once you put glue on it, the glue will soak in, making it rigid. I recommend something synthetic, that won't expand or contract much when your model is exposed to varying levels of humidity. The advantage of thread is that it's available in a nearly infinite variety of colors, so you can pick one in the desired color and not have to paint it at all.