Although I live and do HVAC design in upstate NY, I know TN well. In TN, cooling is your dominant load. Although it can get brisk up in the hills, heating is secondary. If you don't want a complete duct system, consider ductless splits. I recommend Mitsubishi (
www.mrslim.com) for these. They are quiet, efficient and very reliable (bullet-proof reliable).
Also, most of TN has the wonderful benefit of cheap electricity thanks to the Tennessee Valley Authority, so geothermal, while nice, isn't going to pay you back like it would in NY -- we pay 17 cents / KwH! (you're probably close to half that) -- so it's not going to kill you to run something slightly less efficient than a gshp.
That said, if you want to go with geothermal anyway (because it's awesome!), you'll need some duct infrastructure if you want central cooling -- there's no way around it - unless you want PTAC units (those ugly things that sit in front of a window inside hotel rooms) or something along those lines.
Either way, you have two cooling options with geothermal. The first is to install a separate water-to-air heat pump for cooling (along with the water-to-water for the radiant heat). The second is to use the water-to-water heat pump for heating and cooling -- in cooling-mode, sending chilled water to a fan-coil / air-handling unit. There are a number of manufacturers that have chilled-water coils that are for conventional duct work (and not for high-velocity).
Cost-wise, both options are close in price after it's all said and done. Option 1 is the simplest way and arguably better -- with two separate heat pumps (both connect to the same ground loops, however), you'll be able to better match each piece of equipment to their respective loads (heating vs. cooling).
Option 2 will require you to install a buffer tank for the chilled-water (to prevent short-cycling the heat pump) and gets a bit complicated from a piping and control stand-point -- it will be hard for you to find a very good hydronics contractor in TN since boilers and RFH is less common than it is up north.
That said, different designers have their preference -- neither option is 'wrong'.
Good luck -- JB (
www.enhancedliving.net)