The IOC shouldn't be handing out exclusive TV coverage contracts. There's too much going on at Olympic games for a single network per country or broadcast market to adequately show everything.
I bet Outdoor Life Network would show full coverage of all the shooting and archery events, plus anything else that isn't as flashy and splashy as gymnastics, track and field or water sports.
Possibly. The only problem is that shooting isn't much of a spectator sport. Fun to do, but not all that interesting to watch.