I gotta believe there is some point (an inverse relationship) where the screen reaches sufficient solidity for a given horsepower to fly the "screen plane". It probably be easier for us modelers than full size a/c designers because we can easily achieve higher power loadings and we don't have to find a volunteer to go up in our screen plane.

Seriously, there must be some value of wing open area that would still support flight. If I really wanted to answer the question, I think I would start with 5-10% open area and begin testing. I would continue to increase the open area until the plane no longer lifts off the ground. To give the screen plane a chance, I would begin by putting the open area in the rear of the airfoil. You know, it may be that the open area could be increased even more if the screen plane could be rocket assisted to some given velocity. But that's for later after the ROG method is explored.