No need to overthink this one or get exotic. Go to SW or BP and get the folding Slumberjack, ALPS or equivalent. I've used one for years and years.
Next one I buy will be same, but the smaller unit.
Also, anyone who thinks you don't need a pad of some sort while using a cot has never been cold before. When you fight with physics, you loose. There's no insulation value in a cot, so keep the closed cell pad for winter work.
Now for backpack-able cots, that's another issue entirely.
