I have read that silnylon does not have good UV resistance, so leaving it in the sun for long periods could cause the fabric to fail. Might want to look for something heavier duty or take it down when you'll be gone for a while. You could also try to set up in a shaded area or put a cheap hardware store tarp over it while you are away.
As far as stability goes, it should be fine. I'm assuming these campgrounds are not in areas with truly extreme weather. Good stakes, good pole, normal weather--you should be OK.