Yes, but for personal use, unless someone else already made those containers, I will still have to go myself through the trial-and-error process of finding the right combination of versions. Yes, second installation will be easier, but if I just want it on my PC it doesn't really help.

You can `docker pull username/mytensorflowcontainer` and start from someone elses' work. Looks like Tensorflow has a how-to on the site: https://www.tensorflow.org/install/docker including working cpu-only and gpu-enabled examples.