Repurposing 'too narrow' sleep pads?

The situation: I'm no longer able to utilize my old Thermarest Neoair Xlite and Xtherm because I now am wider and am a side sleeper. Balancing on my back with my arms hanging off is no longer feasible. However: The Neoair was bought used back before they did the NXT, and the Xtherm was a steal of a deal at REI because it had been patched. They won't be worth enough in resell value to even cover a new rectangular pad, even before shipping and the Ebay cut.

Are there any ways to 'upcycle' these for alternative purposes, such as including them in a more elaborate sleep system or for extra insulation in scenarios where my arms won't fall off?

For example: I also hammock camp. Would these air pads work alright compared to the usual CCF foam? Are there ways to use them in emergency kits that don't require me balancing on them like in a backpacking tent?