After spending some time planning out more complex mechanisms for surviving a tile flip, I went back and created prototypes of the easiest survival methods. The first is simply walking to another tile. I've added the idea of walking up to something in the world to get to the map view back into the prototype. The map/landscape tile flip mechanic is faked for the time being (the landscape tile flips regardless of whether or not you've flipped the map tile).
The next one doesn't have a tile you can get to, but you can walk around the tile as it flips. The white plane was added in because it's rather difficult to understand how the tile you're on is moving without a horizon to orient you.
Working on these more simple survival strategies lead me to think about another way to walk from one tile to another:
