In my area, the Hunter Pace is a timed event, sort of like a poker run. You're given a description of a *foxhunt* - following the descriptions, you pick up poker chips at each checkpoint. Closest to ideal time, usually set by hunt staff, wins. It's supposed to be a test of your knowledge of the hunting territory and feel for pace. Really nothing like xc at an event, but a boat load of fun.
We also have Hunter Trials, as distinct from Horse Trials. Hunter Trials are held in a large open area over natural obstacles, and are like a shortened xc course, but are judged subjectively, on jumping form, manners, style and suitability to be a field hunter.