7 Mile Canyon (sometimes spelled out, Seven) is located only 11 miles North of Moab, Utah. It's a great, short hike that dogs and kids will enjoy, as it passes by several petroglphys and pictographs. The trail is very easy and flat, so no hard effort is required to get to these artifacts. 7 Mile Canyon is on the way to Dead Horse State Park, but it definitely has a quiet and remote feel. During our hike we only passed one other person. This hike is very sandy, and you'll hike in and out of the dry steam bed. There's very little shade, so be prepared with the necessary items to keep cool, and carry at least 2 liters of water (and water for your pup!). Please keep in mind that touching the artifacts are not allowed.
Fish and Owl Canyons, located in the Cedar Mesa area of Bears Ears National Monument, is a popular loop hike for backpackers looking to discover ancient ruins and kivas, hike through desert terrain, visit Neville's Arch, and explore two scenic, deep canyons. This area is recommended for intermediate to advanced backpackers due to the distance, rugged terrain, light route finding and scrambling.
The Black Canyon of the Gunnison National Park is located near Crawford, Colorado for the North Rim, and near Montrose, Colorado for the South Rim. To drive from the South to North rim in one day is about a 2-3 hour drive. It's best to pick one that you are more interested in seeing, so you have more time to explore that one area and fit in a hike.