Fitting softer
braid 
will also help keep the nose down, and as for the chatter, Marco won't like this but I fitted a ninco style brace from motor to bush which made a great improvement for me, running non mag on slot.it 20x11 f22's.
Re the dimensions of the car, I've read that it is very close, and the fly car was made slightly short so it would fit in the box!