Hmm, I was hanging with some pinheads the other night and one mentioned that he can put pins in his Matrix. What I would do is find the exact measurements of the machine you want with head down (most with head folded down will fit through a 30"x30" space, but in a game of inches the more exact you can get the better) and make a piece of cardboard the size of width/height. Then try and pass it straight all the way back through your trunk opening, between the wheel humps etc.
Edit: The Vibe isn't an exact clone, they're built on the same platform but they have their own sheet metal. So where it's rounded and too tight may not hold true for the Matrix.