If you want to make it look right, and include all the detail you can stand, I would suggest you buy balsa (the wood used to build model airplanes) at your local model shop and build your set as a real miniature version of the full size design.  It comes in dimensional sticks, sheets, and dowels.  There's a little money involved (they don't seem to give balsa wood away for free, darn it!), but it is easier to be so much more accurate and detailed than with the cheaper mediums (paper, cardboard, foamcore, etc.)

Being made from wood that is very light and easy to cut, shape, bend, sand, and assemble into an accurate, to scale structure, it also finishes very similar to the 'grown up version' with paint or stain.