Would cordwood be an option in your area, if there's plenty of wood available? If your soil is suitable for cob, then cob with an insulating layer can be used for infill between the logs.
There's a little about that, and insulating cob walls, in this thread:
https://permies.com/t/9949/Cobwood
Seems like they can be a bit of work, though. Go up faster than cob in the initial build, but will need repointing as the log ends shrink.