If you're determined to do this I'd say just go ahead and give it a shot.
But measure the girth and see how the numbers add up. I can envision that the sides of the hammock are going to require a lot more girth and will hold the Convert off of you, thereby seriously compromising insulating ability. But if you take a short Z-lite pad you will have a back-up strategy. Maybe not ideal but it'll get you thru the night.
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