Depending on where you are, you might consider putting your bags in a very lightweight bivy sack like a Black Diamond Winter Bivy, which I have and use for winter camping. It is just a bag with a cross zip and mine is made from Epic. It weighs 8 oz.

They aren't made anymore, but I've seen the remaining stock for sale online. May be hard to find, though. Someone else must make something similar.
Don't get me started, you know how I get.