There are wonderful, open trails in Tucson Mountain Park, a ten minute drive east of Tucson. Numerous options here --many of them more modest for trail running, including the 4.7 mile Starr Pass Trail Loop. Great views, and especially lovely at sunrise & sunset.
tuscon Runs
Wonderful state park 17 miles north of Tuscon with extensive trail system through mesquite forests and saguaro-studded canyons, and fantastic views of the Catalina Mountains. Trails range from easy to challenging.