Hi Gabrielle,
Welcome to permies!
A sculpted tiny house on wheels is an interesting idea; I'm imagining all sorts of shapes moving down the road!
But I don't think your sawdust cob would work.
Besides the weight, I would imagine that any cob like material would not have the tension strength to put up with a bumpy ride, especially if there were bottles imbeded in it. I would think that most massive cob like materials
should probably stay in place.
The only thing I can think of that MIGHT work is lightweight ferrocement, but even that might be a bit of a stretch.
Hopefully an
experience builder will chime in.
My guess would be that for a tiny house frame construction of
wood or metal would be the only viable options due to weight and strength issues. A tiny house should in theory be able to hold together even if it was stood upside down, while still being lightweight; I don't think any masonry type material can do this.