I have tried golfcourses in the past, I think many have wheather they admit to it or not. I couldn't get on with it, forever walking the course prior to going out in the evening picking up rakes, balls, sand bags ect.... whippet or no whippet they are dangerous to work, the risks are out there all the time.
I have shot hundreds of rabbits from golf courses, and high numbers can be achieved in a quick session if your eye is in.
If you have a job to do to clear them, then a dog to complete the job would never be an option for me.