You could probably convince some airlines to give you miles for chartered flights that they operate.

I know that the University of Texas football team charters are operated by Continental.

I believe that they use the commercial passenger terminal, too. Perhaps they prefer to use the AUS Presidents Club for the after-hours arrivals facilities as opposed to Trajen and Signature's services at the private ramp.

Seems like it would "feel" very much like scheduled service, so you could probably negotiate some miles.