Another "brillant" idea Bugsidian Entertainment. Saving / loading is no help of course.
Why on Earth would you put a restriction due to that? It should have been obvious from Fallout 3 that you can get stuck like this.

You can't fast travel while moving, Jumping and Falling both count as moving. It has been that way since Oblivion.

that has happened to me plenty of times all you can really do is just load your last save.

You can also spam duck and jump, as well as try switching views while rotating. This bug has been around - hence the warnings about the "sticky rubble" so prevalent in FO3.