Utah's Highway 12 has many scenic spots. Just west of Bryce Canyon NP it passes by Red Canyon, a great place to hike and scramble around the red rock formations. The highway there passes through two short tunnels in the rock.
The friendly young ranger girl at the Interagency Visitor Center in Escalante suggested that I hike the Lower Calf Creek Falls trail. So I did. It was an easy out-and-back trail (less than 6 mile round-trip) to a 126 ft waterfall. With plenty of shade and a pool to cool yourself off, it's a great place to bring a picnic lunch. This site gives simple directions.