I agree with Jay. I would encourage you or those who are interested in Earth Tubes to try them out and do case studies on the results. However, most of the time they seem to perform poorly, especially in the southeast. You are in a "mixed-humid climate" as opposed to "hot-humid" but they are the same in that most of the cooling work involves dehumidification. While under perfect conditions and installation they can work, most of the time they create more problems than they solve mostly due to moisture, humidity and mold concerns. I think they make the most sense when using them as an intake tube for the HRV or ERV.
For dehumidification, nothing beats heat pumps. The most affordable are PTAC style (hotel room). Mini-splits are coming on strong in the states for many good reasons. They are increasingly chosen as the main heating sources for many net-zero energy projects even in cold climates. The main reason for this is that they offer heating and cooling with amazing efficiency. I still prefer typical split system heat pumps in any home with more than 2 bedrooms or levels but would absolutely go mini-split in a 2 bedroom or less home.
Kudos for going Passive Solar. Be sure to check out
http://www.greenbuildingadvisor.com/blogs/dept/guest-blogs/cost-effective-passive-solar-design for good design criteria. Ive seen some terrible "passive solar" designs churned out lately.
Most importantly, make sure your building envelope is built
airtight and
continuously insulated. This is the easiest and most affordable way of achieving energy efficiency and independence. Passive solar, earth tubes, and mechanical systems in general should take a backseat to obtaining
excellent blower door test results.
Be sure to keep us posted on your project, it sounds like its going to be a good one!