Randy, what I do is get the tape as deep into the gap as I can, which is usually just touching the hinges. So the tape doesn't fold at one point, but gently bends over 1/8" or so.
That leaves a hinge that's still slack enough for the surface to flop around of its own weight, which is my personal standard for "good enough". When you get it to that point, the tape is not going to be the worst contributor to stiffness or friction once the whole control system is hooked up.