In the last couple years the Siberia section in Outer Mongolia has become a go-to place on weekends. It's great, with the full day sun, but unless you get there early, expect to see people there, in groups.
Geology Road is still relatively left alone, and can be very nice. Stirrup Tank also has some good routes and fairly left alone. Nonetheless - be a drill sergeant and get those troops marching out early. You are going to, unfortunately, have to stake out an area and "be that guy." And there is plenty of "that guy" competition. It's just what it is.