Some more progress:

Between the fuselage and the lower wing is the main fuel tank, with a large fairing covering it. That fairing shows how sometimes problems turn to your advantage
The fuselage was supported on six legs:

and that's how I was was thinking of making my model, but I couldn't see how to work the fairing in. It's quite a complicated shape, the top plan form is an arc at the front, a rectangle and a triangular tail. The bottom is more or less an elongated raindrop, curved over the top of the wing. Blending those together must have been - interesting
Then I had a thought. What if I made the fairing on it's own, suck it to the bottom of the fuselage and mounted the wing onto that? And that's what I did:
Instead of a wobbly problem, I had a nice, solid connection to the lower wing
Richard