Unless you want to detour into UT or CO, probably you're next best bet is east TN / West NC. I can't see the map in detail but you're probably going to be going along I-40. There's a trail just as you get into NC but before Asheville called Hurricane Creek. The entrance is literally right on the interstate on the I-40 west side (you have to go to an exit and turn around if heading East...it's weird...lol). Fun trail, not too difficult, beautiful scenery. Connects with another trail that takes you to Max Patch, a nice overlook.
Also around Knoxville there is an offroad park called Windrock that is awesome, maybe 30 minutes off I-40 before you get to Knoxville.