In reply to NottsRich: I think this is more an issue of a confusion over terminology rather than anything else.
What you are describing, is sounding to me more and more like a 'lite' version of summer alpine mountaineering rather than a 'lite' version of big wall climbing.
There are plenty of alpine rock routes where it is common to bivvy on the summit or high on the route, before then descending the next day. Routes like the North Face of the Petite Dru, or the South Face of La Meije come to mind and there is no reason why the same lightweight bivvy approach would not work well on smaller objectives. However, that would have nothing much to with 'big wall' climbing in terms of ethos, approach nor equipment.
As I tried to suggest previously, I think you would be better off thinking about this in terms of established alpine and mountain rock climbing venues. You can then subsequently narrow things down to consider quality routes with good bivvy spots near the top.