What is a situation where the mode is the best average to use to describe data.

If you are hunting deer, which location would you hunt in? The mode location, or somewhere else?

do you mean that the mode would be like a pin point area of where is the best location?

The mode would be the location where most deer had been observed, using a two-dimensional distribution, divided up into little squares. The "mean" in this case would be the centroid of the distribution (the mean of both x and y coordinates).