I have a standard size hanging SRD Latigo strop (3x28"). What is the best way to travel with it ?

Laying it flat in my softsided suitcase (in the middle of the clothing for protection) results in a very wavy surface (although it flattens again after lots of palm-rubbing and several hours of being hung).

Also, I often travel with just a carry-on sized duffle bag or a packpack that are too short to lay the strop flat. Can I roll the strop ? What diameter ? Smooth side out ?

Thanks.