Part of the photogenic history within the park can be captured by incorporating the ever-present buck and rail fences into your composition. These fences can be found in several locations, but are most abundant along Highway 191. Here the fences line the west side of the highway and make excellent forefronts for the majestic Teton Range towering above.
One of the best locations is near the Triangle X Ranch turnoff, where the fence descends into a gully and back up the other side. This adds for some intriguing and attractive diagonal elements to your composition of the Cathedral Group.
There are many other scenic locations along this highway to include the fences in your composition as well, including a spot just before reaching the Cunningham Cabin turnoff. Here, several groves of aspen add attractive color in autumn. There are many cottonwoods that also grace the west side of the highway.
Granted, I haven't visited this area in the spring, but I found autumn to be my personal favorite season for photographing this area with the dried brown grasses and yellow color in the shrubs and trees. OK, so autumn is probably my favorite time to photograph the park in general!
Mid to late morning serves as the best light for photographing this area as the light can be quite flat in early morning. Also, keep a watch out for horseback riders, which can add a new element to your composition. With all the ranches nearby, trail riding in guided tours is quite popular, and offers an historic story to your images.
I hope you get a chance to enjoy this magnificent area sometime soon. It really is a special treat.