They also sell a suction cup mount that you could get at like walmart that you could just stick on the mirror at the hotel which is what I do . They take very little space in your bag...Something like this...Was kind of wondering how I would hang the brush to dry… rubber band is a good idea!
I actually use some at home too . I have a couple of brushes and some DE and SE razors stuck around the edge of my bathroom mirror to conserve counter space.. There are many different types of the mounts and pick the ones that work best size wise for you ..