Sounds like you want to build something like the Forkenswift, which probably falls very short of your required speed and range.
Big 3 electric car questions: How fast? How far? How much? - ForkenSwift.com Even a Nissan Leaf won't make it 200km on a charge. I think Rooster is right in that you should just get a compact car like a Corolla, Civic, or Fit for the trip.