It would not work.
Any stressed skin needs a method of transporting load to a strong point.
You can not just have a 'stressed skin'.
The stressed skin acts to keep the load bearing spar (Or members) upright and in position.
If you just had a stressed skin with no load bearing spars the top ( or bottom skin) has no support, it creases and the strength has gone....the end of the structure! Something HAS to take the load and transport it..