G'day Gary,
I went thru this exact exercise before my trip to the states in July last year.
I ended up choosing the Canon: IXUS 130 IS in Black.
26 -112 mm wide angle lens - fantastic for golf course pics, and with capacity to shoot in panoramic, perfect for golf courses!
Image stabiliser is also a great feature, partcularly if shooting in the wind.
4 x optical zoom, 14.1 megapixel camera with a fantastic High Definition HD video capability as well.
This camera is so tiny, I am not a fan of lots of stuff in my pockets when I play, this easily and comfortably sat in my left pocket the whole trip, and on busy courses was able to shoot very quickly because of it's size and simple operation.
I took over 1500 pics in 14 days. Hardly a bad photo amongst them.
I would take a wide angle off each tee, then zoom all the way in for driving zone or central feature of each hole, then do the same at approach shot.
I think I paid about $250 duty free leaving Australia, but we are pretty expensive over here.
Good luck.