Exact same issue. This didn't happen to me before. Have my iPhone 6s Plus more or less since it came out.
I had this freeze (unable to tap anything on the screen and pushing side button to get "slide to power off" doesn't work)
now maybe 4 times (updated to iOS 11 when it was available to regular users).
The only thing that helps, is to "force restart" the iPhone (holding side button and Home for several seconds).
Until the next freeze.
I saw comments, saying that it wasn't a bug and it must be the phones. I don't believe this. As I didn't have this issue before.
Also, I'm not sure if it was like that pre-iOS11, if you go Landscape in Video FaceTime call then switch to different app, I can't get back by tapping the green "Face Time" bar. Have to rotate quickly to Portrait, then I can tap the green bar.
Surely minor detail, but I thought that this worked before.
I'll try and find out if the freeze happens after using specific Apps but this will be rather hard as it happens not so regularly.