The Origami case has worked well for me. I would not just put it in a bag both because of Oversize and because of potential damage.
Many suitcases will work but you need to practice taking apart and putting back together. If you don'w ant to lug a case you could get some cardboard and put it in that bag, but I would still break the bike down so you are at least close to suitcase size.
You should strap wrap the case to get it reasonably tight. Stretch wrap is better. Take some also for your return.