Not so hard. It's barely more than 20" high and crucially less than 12.4" wide. It's the width of normal monitors that murder you. The Minaal backpack for example would easily fit this one and I expect any similar boxy MLC backpack to just work.
Thanks for the micro HDMI warning (although doesn't Asus use mini HDMI here), I need to get an L shaped plug then for my upcoming monitor (which is not the Asus).
That Minaal bag doesn't look bad, even if I'd be very wary of carrying a monitor in an unpadded general storage compartment. I suppose it'd be possible to have a padded sleeve made for it.
The Asus has Micro HDMI - mini looks like a smaller/thinner standard HDMI (and still has a terrible reputation, btw, but mostly for breaking), micro looks kind of like Micro USB, just worse in every conceivable manner. My first experience with it was on a Lenovo Yoga Pro 13", where it refused to maintain a stable connection even when sat perfectly still on a table - the stiffness of a standard HDMI cable was enough to pull it slightly askew in a short while, dropping the signal. Touching the PC with the cable connected was a complete no-go. After that I've come across it on a few devices, most notably the aforementioned camera, which is ... fine. At best. Doesn't drop out willy-nilly, but the cable feels barely attached, and will come out with even the slightest tug on the cable. The sheer amount of play in the mounting also makes it feel like it's going to break any minute - and it feels more likely that the device-side connector will break than the cable-side one ... Not good.