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.
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Don't get me started, you know how I get.