You are correct that the corner piers are shared by the wall logs, and that pretty much skunks your plans right there. But don't worry, that's not the only problem using those forms. The LHBA style log homes are very heavy. Those forms simply don't have enough soil bearing area to support the home without further measures. (i.e.-a footer)
Defeating deep frostlines just means taller piers. (but additional reinforcing rebar is required)



Hiya, I'm thinking about building near Caribou Maine and the frost line is 60'' deep. I'd prefer to build on piers, I don't want or need a basement and it keeps things simple. I've come across a product called the footing tube, here's a link.
http://www.foottube.com/
They are basically plastic tubes that come in several different sizes, the largest being 8' tall. The base is 2' wide and it tapers up to an 8" opening to pour in the concrete. It's my impression that on an LHBA home the first level of logs has their end joints rest on the same pier. Unless I use 4" logs it's probably not going to happen. I could probably fill a sonotube with concrete and wrap some plastic around it to get the same frost resistant effect but I like this product. It seems workable and it's easy to understand.
What is the traditional method you folks have been using to defeat the deep frostline?