CJ,
It wouldn't matter if one owns a business or not, the only tax deductible amount would be the $1,600. Basically the way it works is the amount of your deduction is limited to what you pay less the value of what is received. In your scenario. essentially $1,600 is considered to be the value of what the foursome receives in the form of greens fees, cart, meals, etc.
Even at $3,200, that would equate to $800 per individual with an after tax cost of approximately $680 or so depending on which tax bracket you would fall in. In my opinion, a very reasonable price to pay to play one of America's greats, assuming you don't factor in the travel costs.
Scott