OK... a crazy idea...
Suppose the mast was an air foil but horizontal like the wing of a plane. Wind coming over the bow would create lift and a small vector forward (maybe) the list could raise the boat but perhaps the forward vector was enough to pull the boat forward. Probably need a stiff breeze.
So let's get some of your geniuses to think out side the box.
If I take my sail on my boat and rotate the rig 90° so the leading edge of the sail is athwarship... and the mast is set say 15' above the deck level... the boom instead of rotating about a vertical axis... would be attached to the mast and rotate about a horizontal axis.
If the boom end was "sheeted" down the sail would be much like a plane wing. You could actually have e small mains... one to stbd and one to port. The sail could be reduced in size so the OAL beam less than the hoist. The nast would also rotate so the it could be stored fore and aft
So you use the motor to turn the bow dead to wind.... 0°. the wind hits the sail and flows over the top surface which acts the same way it would if vertical... This generates lift... mostly up but some forward.. just as it does in a sloop rig. Would this lift be adequate to pull the boat through the water directly into the wind?
If so not, why not and if so why so.
If it is to work what sort of boat speeds are needed? No need for keel I would think because there are no aerodynamic forces which are not generated other than on the CL?
Could this rig sail off the wind? Perhaps rotating the mast so it stays normal to the wind direction and the bow moves to the direction you want to go... obviously only works on wind angles forward of the beam.. and as you get closer to the beam reach your rig works less and less... like sailing a normal rig dead into the wind.
Maybe to sail this rig downwind you raise the boom and the
"underside" of the sail fills
Of course this is a thought experiment... about getting the wind to generate lift so the boat can sail directly into to wind... not intended as a practical idea.