With a monorail, the (usual) best way is in a case that camera can hang upside-down... And there is room for a few holders, a lens or two, accessories etc... Seems a bit bulky, but camera is ready to shoot when placed on the tripod, and case moves easily around on a luggage cart with soft wheels... Taking a monorail apart creates more time needed when deciding to set-up, but maybe ok when traveling and camera needs to shrink...
Steve K