I don't think you can stretch the ring into a cylinder shape. They seem to have gained great functionality by making the ring a "rounded donut" shape. Stretching it would probably return it to requiring 'planet Jupiter mass' energy requirements. I would think that multiple donut rings in series would also.
I think best to just use the saucer-section. Scaled to the max diameter of the football (in proportion to the warp ring), and mount it on a pivot axis to the ring. Then, with the saucer perpendicular to the ring... it's impulse engines can be used to achieve initial sub-light velocity. Then pivot the saucer to parallel with the ring, and engage the warp drive. When slowing to stop... do the reverse procedure.