Look closely at aspect ratios and light.
For mounded courses, early mornings and evenings are best.
Re: lenses. One of the best portrait SLR portrait lenses might work well on a golf course. It's the trusty Nikon 105mm.
Granted, the lens is a 2x telephoto, but that can be an advantage in certain situations, and it has an excellent range for depth of field. It makes anything look good.
Two other good lenses would be Nikon's 24 or 28mm. The 24, especially, gives a broad panorama, but doesn't inject that usual wide angle distortion.