Greg, I'm no super, but, I do live in the plains, and play at a place that does nothing to maintain their surrounds. This year is ridiculous. But last year was great, as we were in a drought.
IMO, there's no easy way to achieve playable conditions every year. Hand manicuring is just about the only good way to mitigate it, but, that's likely prohibitively expensive. As has been mentioned above, managing your over throw is key to those areas directly adjacent to fairway. Not watering when it's too windy, would help a lot, too. Burning is no good, as the new growth is even healthier.
My advice would be to pick the best spots to hand manicure. i.e. blind landing areas that get frequent errant shots.
Other than being diligent with the manicuring, maybe some pre emerge apps would help. The only other out of the box idea I can come up with is to encourage cart traffic in the native. I know I know, it's practically criminal to even suggest that, but, it's the only way I know how to disturb the over growth.
As I implied at the beginning, I haven't a clue how you pros would handle it.