You can run the annual-daylight (2-phase) simulation with detailed geometry for each blind state. There is no blinds post-processing in Grasshopper yet, but there is a workaround as highlighted here.
However, the 3-phase method is suited for this kind of analysis. The recipe has been in the background while working on annual-daylight with aperture groups and post-processing. But I believe it is ready (or almost ready) to be pushed to Grasshopper. The only issue is again that there is no way of post-processing states in Grasshopper - maybe we should push for this sooner rather than later (cc: @chris).