The Strawbale Building website has a series of images showing the huge variety of buildings that have strawbales as part of their construction.
Some are out buildings, almost sheds. A few clearly show the jagged outline of the bales!
There are however some clean cut designs out there presenting homes that need not set off that nimby neighbour.
Take a peek. The site has useful advice as well.
The photo below is my personal favourite of an interior of a strawbale house, taken from this site, which tells you how to build with straw;