The Raspberry Pi Touch Display 2 5" is similar in many ways to the 7" version, however the mounts on the back are quite different which means you can't use the commonly available stands nicely. Here is one that fits the Pi 5 perfectly. You can print this in many orientations so feel free to do what you prefer (I print them with the long side flat on the bed with supports).  The legs on this are quite sturdy and will cope with a lot of poking. Mount using the original screws that shipped with the screen.