Note, the design of the exped synmat 7UL has the two outer tubes larger than the inner ones, so that you have a lower chance of falling off the side.
J
J
Therm-A-Rest make both covers for their mats ...
http://www.cascadedesigns.com/en/therm-a-rest/pillows-and-bedding/universal-sheet/product
Lightweight camp beds ...
http://www.cascadedesigns.com/en/therm-a-rest/cots/category
I've yet to use one of the beds, but I rate the covers highly. I use one for cycle touring in conjunction with one of their down blankets.
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How heavy is the cot bed you have, I've been trying to find a lightweight one but they seem to start around 5kg