What type of shots are you trying to get?
Where on the course will you be?
Will you be working for a company, if so what is their preference in terms of the type of shot that they want to sell?
The above should dictate your choice I have used 17-300mm f2.8-f8 depending on requirements, although in nearly all cases 1/500sec will be fast enough – for the rest 1/1000th.