Jeff - Geodean brought up a great point. Your typical cooling system (that uses an outdoor AC unit) creates an evaporator (indoor air heat exchanger) temperature of about 40-45 degrees. This is just enough to cool the air efficiently and remove dehumidification.
There are some patented products that you can get that have both geothermal heat pumps (for heating) and ground water (for cooling) integrated into one system. The problem is that you need that 45 or 40 degree ground water temp. Certain parts of the country (MI, MN, ND) may have colder ground water temps during the summer time.
While the soil temperature may be 55 degrees and inadequate for the cooling, ground water from deeper down may be on the order of 45 degrees, and may be adequate for cooling.
The closer to the surface you go, the warmer the water will be in the summer-time, so you need the deep down water as the source for cold water.
Good luck -