@RetiredF4: As I mentioned previously, an aerofoil doesn't cease to be an aerofoil and stop producing lift just because it's at high AoA and stalled. Yes, it produces a lot of drag (component of force parallel to the airflow) as your barndoor would, but there is still significant lift (component of force normal to the airflow). Since you don't want to just take my word for it (fair enough), here's a link to
a study specifically of post-stall aerofoil behaviour; it has a good set of Cl/Cd/Cm-alpha graphs going up to extremely high AoA. You'll notice that the motivation for this study wasn't aircraft behaviour, but wind turbines; there's been a lot of interest in post-stall aerofoil chracteristics because they spend quite a bit of their time operating in a stalled condition!