A number of British clubs that I know of play occasional competitions (very likely in the Christmas holidays) over cross-country courses, not reversible, but playing from the 2nd tee to the 17th green and the 18th tee to the 3rd green and so on. You think you know your course well until you take part in one of these. And there are options - lots of them - one of the things we seek most in golf course design. You could not do it on a heavily wooded course but even quite a well-treed parkland course can be put to such use, and many a links is ideal. There is a particularly good 9-hole cross-country course at Conwy.
One of the more interesting aspects of this form of game is trickling into bunkers - you may have no lip in front of you, but you probably don't have a backswing.