The Utah Golf Association has over 120 member clubs to choose from on your visit to the Beehive State. (It also has user friendly website.) If you're buzzing around the Canyonlands part of the state (southeastern border area) check out the Moab Golf Club in Moab.
Greens fees peak at $25 and the breathtaking terrain of the red mountains will have you yodeling Utah's merits to and fro. Salt Lake is loaded with golfing opportunities, but for pure nostalgia take a run over to the State's oldest course (albeit a nine-hole variety) at Forest Dale Golf Club. It's over 100 years old and peak greens fees stay under $20 - better yet, the course is challenging enough that you'll hardly notice the repeat nine. Be mindful of the mountainous terrain which mean you’ll run across your share of sloped, fast greens on Utah golf courses.
One trick to slow the ball down as you putt from a particularly tough spot above the cup is to use just the toe of your putter to make contact. Make a smooth stroke and get good contact with the ball, but impart as little force as possible. You’ll start the ball rolling slowing down to the hole. It is worthwhile to get some practice on steep terrain before your Utah tee time.