Al, your method sounds like what I was going to do many years ago, until I got to trying to find the materials that would let all that happen without jamming.
Keeping the flap segments aligned in the deflection tracks is the difficult part. Any lateral misalignment will jam the flap.
It got to be too much of a construction hassle for me to actually proceed with it.
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I do recall seeing one of Dave Platt's flap systems detailed in MAN many years back..