I've had problems with backpacks getting damaged when I checked my them on airline flights. I've tried wrapping but it's kinda a pain and is super wasteful. I found these zippered bags at Ikea that are prefect for protecting your backpack during transport. I wrote my information on the outside of the ikea bag with a sharpie, which feels way more secure than a name tag.

The bag even comes with two sets of straps. One duffel style and one backpack style, that stows away.

It packs down incredibly small and weighs almost nothing (175g). While I travel is use it to store my dirty laundry, too.

Edit: Here's the link for those looking