I ride no hands just to stretch for a bit and to change my water bottles out. I tried using a mirror, but I kept kinking my neck so I gave it up. I don't twist my whole upper body like I use too, now I just put my chin on my shoulder like Hermes said. Before that I just held the bar near the stem with one hand and turned my upper body. Leaving go of the left hand all together. You just have to practice and it will get easier, good luck.
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George