Hi Mark,
Here's my take on it. I've never built a natural built house, but I have taken a 7 week intro to natural building
course (we covered many different materials and did get plenty of hands on experience building a community garden shed). I'm also an Island boy, born and raised.
Locally sourced possibilities include log cabin style,
Cordwood style, and
Lightclay style.
I'm partial to lightclay for a few reasons. I like the fact that it's non-structural, just infill. I think this would be easier to get permit approval for, since the framing could be more standard than a monolithic style build. I also like the fact that any damage to the lightclay (moisture?) is repairable without worrying about structural integrity. Lightclay can be constructed with
wood fibres, making it viable for the coast (no straw, lots of wood). It is also possible to adjust the clay/fibre ratio to choose insulation or thermal mass.
I've seen ideas for framing a structure with lightclay in mind, using alternating dimensional lumber to prevent thermal bridging. Imagine a 2x12 sill plate with 2x6 studs, first stud to the interior side of the sill plate, next stud to the exterior sided, and so on... (I can try and create an image for you if this is confusing).
One source for the beautiful potential of lightclay is
EcoNest.