What about suspending something underneath the hammock that would conform to your body?
I found this packing material at work that is much thicker than bubble wrap, almost 1".
If the bubbles were connected, the whole thing could be deflated/inflated taking up almost no space. Or would the air inside the bubbles just get cold and freeze you out? The bubbles would probably need to be closer together than shown here so cold air wouldn't flow between each one.
Now that I think of it, I guess this wouldn't work because every time you moved the pad would let any heat out/cold air in. Unless there was a way to keep it tight against the hammock.
Just thinking out loud here.
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