To physically position the monitor, changing to an external VESA-mount arm is a good solution. Since the hole pattern is square, you don't have to opt for a rotating mount -- though many such arms will do that for you, as well.
To rotate a laptop display, better plug in an external keyboard and pointing device. Then you need to figure out a rest for it...
Looking at the top 4 monitors advertised to me on NewEgg, only the most expensive one had the right holes on the back for you to use that sort of mounting arm.
To physically position the monitor, changing to an external VESA-mount arm is a good solution. Since the hole pattern is square, you don't have to opt for a rotating mount -- though many such arms will do that for you, as well.
To rotate a laptop display, better plug in an external keyboard and pointing device. Then you need to figure out a rest for it...