Kat ran. Kat ran until the night had long since fallen, but on the insistence of the cultivators she didn't stop until they reached the edge of the swamp. Though, let's back up a bit. Yang wasn't pleased with the new mode of transportation and made this very clear. A good deal of yelling, even as she entered into the snakes mouth from the open neck she continued to complain.
While she was doing this, Xiang had already stepped in and was starting to work out a little trick that would turn this ride from horrendous, into comfortable, much more so then the ice and it turned out to be good enough for him to get some sleep. See, Xiang realised that by sliding his legs under the tongue and pressing himself into the walls he would move with the snake head and limit the amount of bouncing around Yang was experiencing. Every step, most of the movement Xiang might have felt was absorbed either by the walls of the snake's mouth or its tongue.
