Wyoming has two of the best National Parks in the country, Grand Teton National Park, and Yellowstone National Park, and they’re right next to each other! Yes, there are lots of other attractions in Wyoming, but for photography and hiking, these are the two premier locations.
That being said, both parks are remote, and access from any direction is via rural roads, which can be covered in tens of feet of snow in the Winter, and bumper to bumper with RV’s in the Summer.
Spring and Fall are two of the best times to visit these areas, for you don’t have to worry about being snowed in nor dealing with the deluge of tourists that inundate the parks around the 4th of July and Labor Day.
Be aware that in Spring it’ll be wet from all the snow runoff, so meadows will be muddy, even in June, if accessible at all, for quite a few areas of these parks don’t open until the 2nd week in June, or so.
If wildflowers are your thing, try late June or after the 4th. Prior to that, it’s mostly Mules Ears and some lupines.
June is also a good time to see baby Bison bouncing around in the meadows. The Elk rut takes place in the Fall. Look online to see when it’s happening or you might get there too early or too late to see the mating displays.
And don’t be stupid. Stay away from wildlife that can kill you, heed signs that say keep out because of bear activity, and don’t feed the animals, no matter how cute they are!