Thanks guys.
Steve,
>>2) If the hinged surfaces don't come off (not sure in the case of the Shoe), I don't see any hope of accuracy with an incidence meter.<<
I made a little widget that allows me to slide the meter foot between the stab and elevator.
Ted,
The thing is pretty standard, though it's has a pretty small TVC and is pretty short coupled for the era. The wing is a Skylark airfoil and the planform is the same with a bit more sweep to the leading edge, I think. Balance is right behind the spar. I weighed it last night and with the tail weight now added, it comes in at 50oz. Hinge lines are all sealed (elevator and flaps).
BTW, unlike some, I don't give a rip about what a plane weighs. As long as the wing has the juice to carry the payload adequately, I'm happy. Remember me? The guy with the 75oz, 650 square in high aspect ration plane? I added most of 9oz to that plane to get it to fly consistently. I have no problem piling on the weight if that will help.

I was concerned about the wedge shaped stab (as per plan) when I built the thing, And I was exceedingly careful with alignment. As noted above, the engine and wing are (now again) 0-0. The stab has right on 1° incidence. Initially, the thing had an absolutely wicked yaw problem on outside maneuvers (a problem that seems to periodically plague me for some reason). I ended up adding a Rabe rudder to the thing and that seems to mostly have go away. Oh, I'm flying it on 60' x .015 lines. Hard point handle.
I should note two things. This is the second Shoestring I've built. The first one was a great flying plane. I could never get the OS FP35 to run worth a darn and that ended up causing the plane's demise. But that plane was a terrific flier. So I know the basic design is sound. The only difference, designwise, between that plane and this one is, that plane was built exactly according to the Flying Models plan. This one, based on comments from Bob Hunt about the original plane, has a Skylark airfoil. The original one I built weighed about 55oz, so I could be that Ted's comment about it being too light for the wing loading might very well be the case. If I don't get anywhere with other things, adding weight might be the way to go.
The other thing is, I've use Paul's trim chart and have done all the normal sorts of trimming things we all try. Like a lot of things, I do something to the plane and the problem I'm working on gets better. But unlike what usually happens, it seems that while that problem gets better, new ones are introduced. To me, this is a classic "something's out of alignment" problem. Usually, trim changes are at least somewhat predictable. Add wing tip weight until the wing starts to drop in maneuvers then back off until it doesn't do that anymore. But if you add wing tip weight and the flatness of the turn improves but now the plane is yawing, then something's not right.
The turn is pretty equal. As Howard had suggested, I've dialed in some down elevator and it improved the squirreliness in level flight quite a lot. Still doesn't really track well, but it's not horrible anymore. I added tail weight and while the squirreliness got worse, the turn and predictability in maneuvers got better.
Last night, I went back to the drawing board on trim, re-bench trimming it and found a couple of things. The CG is about an 1/8" back from the plan location. Calculating it, it's about 16% MAC. Should be pretty much in there. I recalculated the line sweep and moved the leadouts back almost 5/8". This puts them about 1" back from the CG at the tip. I readjusted the Rabe Rudder according to Al's article, recently re-read. I also did a sort of weird thing that may make a difference. The first Shoestring I built didn't have an adjustable rudder. It was set up just like the plan except I didn't put in the rudder offset (it was set up 0-0 to the centerline). So I thought the hingeline gap in the rudder might be doing something. So I taped the rudder hingeline. Might make no difference, but it was something to try. I also checked the tailplane and with the down elevator dialed in, I have about 2° of positive incidence.
So, I'll fly it again this weekend and report back. If none of this works, I'll try both adding some ballast and perhaps tweaking the stab or first adding Tom's turbulators. Interesting idea.
Thanks again for comments. Even if it's none of the things suggested help, it gives me ideas to try.