Don't use tactical view, use Pause mode from your main character. It will let you pan the camera where you need. Tactical view doesn't let you look up, but the pause view still does.
For me, i am a rogue, so i just steath, let my warrior taunt everything, then do the interaction each wave. You don't really have to kill any of the monsters, just survive long enough to close the rift.
That said, there are some of the rifts that have demons that are 1.5 to 2 times the level as my characters when i encountered them. For those, i waited till i was a bit bigger to got back and close them.