I recently found [these pathfinder rules](http://paizo.com/pathfinderRPG/prd/mastery/chases.html) about using skill checks for running a chase. I would like to adapt them to my D&D game, however, I wanted to run a mounted chase. Are there any skill besides Ride, Handle animal, and maybe Survival to navigate the terrain, that I can use to run this chase? 

EDIT: The focus of this question is, as BESW said, about adapting from a footchase to a mounted scenario. The horses aren't the focus (and are specific to the scene, rather than an investment by the players), so the characters' resources and choices are made meaningful by not forcing them to use the skills of the horses they grabbed for the scene.