I've done a
straw bale
workshop, and I like it. It seems to take less time to erect than cob, given that the bales go in mostly full size. It relies on insulation rather than thermal mass for a comfortable inside temperature. In my climate heat is more of a problem than cold. Straw bales are readily available in the area. I do prefer the designs that have a lumber framing system, more versatile. I live in timber country, so access to wood isn't a problem. With help, I could use site harvested lumber, we have plenty.
We are only looking to add tertiary buildings, like rough cabins and detached bedrooms, so we aren't so worried about permitting, although the California Straw Bale Association has done some remarkable work with getting building code changed to allow for straw bale construction in both California and Oregon.