As someone not familiar with the ways of ANGC, Gareth has asked a reasonable question and deserves better answers.
ANGC closes for the summer and does not reopen until late October. It does not permit play unless you are invited by and play with a member. Without an invitation you will likely not be allowed on the grounds. If you are British, you might not be accustomed to the barriers to entry to many ultra private clubs in the US like ANGC. There are few, if any, in the UK with barriers quite so high.
There are, however, a number of wonderful courses you can play in the Augusta area if you are interested. A list can be provided on request.
Enjoy your visit to the States. There is plenty to see and do even without a day at ANGC.
Bob