OK KY, here you go.
Head to Brickyard Crossing. It is owned by the Speedway group and sits right next door (and inside) the Indianapolis Motor Speedway. It is a fantastic track to play and you will have a wonderful time. There are also 4 holes that are inside the track, and you can literally walk stright up to the rail in turn 3. Plus, since you are coming for the Final Four, it's in close proximity to downtown.
In addition to Brickyard, there are some very nice places to the North out near Carmel. But only if you have difficulty getting on to Brickyard.