Test #2 of the Fowler Flap system for the Don Smith Connie. This video shows improved actuation and explores the problems and challenges facing using this system in flight.
Nice engineering but as I have learned, its all about leverage.. Given your design, a solution would be to machine an inboard rib with an extended nose (half the length of the rib). That would give you the leverage to overcome the large flap surface area
some late thoughts. the flaps, obviously, need to be stabilized, near the hinge line. a combination of fixed, pivoting anchor points in the aft wing and guide rods, with pivoting mount at the flap le, might work. cheers